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Finding the Fourth Proportional to 1,032.66, 1,425.07 and 560.56

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Solution

The fourth proportional to 1,032.66, 1,425.07 and 560.56 is: 773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.66 : 1,425.07 = 560.56 : x
  2. Step 2: Convert to fraction form
    1,032.66/1,425.07 = 560.56/x
  3. Step 3: Cross multiply
    1,032.66x = 1,425.07 × 560.56
  4. Step 4: Simplify right side
    1,032.66x = 798,832.28
  5. Step 5: Solve for x
    x = 798,832.28/1,032.66
  6. Step 6: Final answer
    x = 773.57

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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.