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Finding the Fourth Proportional to 763.74, 1,053.36 and 514.92

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Solution

The fourth proportional to 763.74, 1,053.36 and 514.92 is: 710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.74 : 1,053.36 = 514.92 : x
  2. Step 2: Convert to fraction form
    763.74/1,053.36 = 514.92/x
  3. Step 3: Cross multiply
    763.74x = 1,053.36 × 514.92
  4. Step 4: Simplify right side
    763.74x = 542,396.13
  5. Step 5: Solve for x
    x = 542,396.13/763.74
  6. Step 6: Final answer
    x = 710.18

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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.