Home / 1,037.66-1,432.20-932.56

Finding the Fourth Proportional to 1,037.66, 1,432.20 and 932.56

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Solution

The fourth proportional to 1,037.66, 1,432.20 and 932.56 is: 1,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.66 : 1,432.20 = 932.56 : x
  2. Step 2: Convert to fraction form
    1,037.66/1,432.20 = 932.56/x
  3. Step 3: Cross multiply
    1,037.66x = 1,432.20 × 932.56
  4. Step 4: Simplify right side
    1,037.66x = 1,335,612.43
  5. Step 5: Solve for x
    x = 1,335,612.43/1,037.66
  6. Step 6: Final answer
    x = 1,287.14

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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.