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Finding the Fourth Proportional to 763.64, 1,052.89 and 514.53

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Solution

The fourth proportional to 763.64, 1,052.89 and 514.53 is: 709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.64 : 1,052.89 = 514.53 : x
  2. Step 2: Convert to fraction form
    763.64/1,052.89 = 514.53/x
  3. Step 3: Cross multiply
    763.64x = 1,052.89 × 514.53
  4. Step 4: Simplify right side
    763.64x = 541,743.49
  5. Step 5: Solve for x
    x = 541,743.49/763.64
  6. Step 6: Final answer
    x = 709.42

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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.