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Finding the Fourth Proportional to 763.14, 1,053.12 and 542.16

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Solution

The fourth proportional to 763.14, 1,053.12 and 542.16 is: 748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.14 : 1,053.12 = 542.16 : x
  2. Step 2: Convert to fraction form
    763.14/1,053.12 = 542.16/x
  3. Step 3: Cross multiply
    763.14x = 1,053.12 × 542.16
  4. Step 4: Simplify right side
    763.14x = 570,959.54
  5. Step 5: Solve for x
    x = 570,959.54/763.14
  6. Step 6: Final answer
    x = 748.17

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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.