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Finding the Fourth Proportional to 763.78, 1,052.31 and 514.66

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Solution

The fourth proportional to 763.78, 1,052.31 and 514.66 is: 709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.78 : 1,052.31 = 514.66 : x
  2. Step 2: Convert to fraction form
    763.78/1,052.31 = 514.66/x
  3. Step 3: Cross multiply
    763.78x = 1,052.31 × 514.66
  4. Step 4: Simplify right side
    763.78x = 541,581.86
  5. Step 5: Solve for x
    x = 541,581.86/763.78
  6. Step 6: Final answer
    x = 709.08

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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.