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Finding the Fourth Proportional to 1,180.75, 1,629.44 and 656.77

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Solution

The fourth proportional to 1,180.75, 1,629.44 and 656.77 is: 906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.75 : 1,629.44 = 656.77 : x
  2. Step 2: Convert to fraction form
    1,180.75/1,629.44 = 656.77/x
  3. Step 3: Cross multiply
    1,180.75x = 1,629.44 × 656.77
  4. Step 4: Simplify right side
    1,180.75x = 1,070,167.31
  5. Step 5: Solve for x
    x = 1,070,167.31/1,180.75
  6. Step 6: Final answer
    x = 906.35

Related Problems

Find fourth proportional to 590.38, 814.72 and 328.39
Half scale
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Double scale
Find fourth proportional to 1,181.75, 1,630.82 and 657.77
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.