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Finding the Fourth Proportional to 870.75, 1,201.64 and 477.78

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Solution

The fourth proportional to 870.75, 1,201.64 and 477.78 is: 659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.75 : 1,201.64 = 477.78 : x
  2. Step 2: Convert to fraction form
    870.75/1,201.64 = 477.78/x
  3. Step 3: Cross multiply
    870.75x = 1,201.64 × 477.78
  4. Step 4: Simplify right side
    870.75x = 574,112.66
  5. Step 5: Solve for x
    x = 574,112.66/870.75
  6. Step 6: Final answer
    x = 659.33

Related Problems

Find fourth proportional to 435.38, 600.82 and 238.89
Half scale
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Double scale
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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.