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Finding the Fourth Proportional to 961.78, 1,327.26 and 542.13

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Solution

The fourth proportional to 961.78, 1,327.26 and 542.13 is: 748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.78 : 1,327.26 = 542.13 : x
  2. Step 2: Convert to fraction form
    961.78/1,327.26 = 542.13/x
  3. Step 3: Cross multiply
    961.78x = 1,327.26 × 542.13
  4. Step 4: Simplify right side
    961.78x = 719,547.46
  5. Step 5: Solve for x
    x = 719,547.46/961.78
  6. Step 6: Final answer
    x = 748.14

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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.