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Finding the Fourth Proportional to 1,008.55, 1,391.72 and 560.42

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Solution

The fourth proportional to 1,008.55, 1,391.72 and 560.42 is: 773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.55 : 1,391.72 = 560.42 : x
  2. Step 2: Convert to fraction form
    1,008.55/1,391.72 = 560.42/x
  3. Step 3: Cross multiply
    1,008.55x = 1,391.72 × 560.42
  4. Step 4: Simplify right side
    1,008.55x = 779,943.18
  5. Step 5: Solve for x
    x = 779,943.18/1,008.55
  6. Step 6: Final answer
    x = 773.33

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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.