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Finding the Fourth Proportional to 1,284.75, 1,773.09 and 935.64

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Solution

The fourth proportional to 1,284.75, 1,773.09 and 935.64 is: 1,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.75 : 1,773.09 = 935.64 : x
  2. Step 2: Convert to fraction form
    1,284.75/1,773.09 = 935.64/x
  3. Step 3: Cross multiply
    1,284.75x = 1,773.09 × 935.64
  4. Step 4: Simplify right side
    1,284.75x = 1,658,973.93
  5. Step 5: Solve for x
    x = 1,658,973.93/1,284.75
  6. Step 6: Final answer
    x = 1,291.28

Related Problems

Find fourth proportional to 642.38, 886.55 and 467.82
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.