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Finding the Fourth Proportional to 763.46, 1,052.74 and 497.56

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Solution

The fourth proportional to 763.46, 1,052.74 and 497.56 is: 686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.46 : 1,052.74 = 497.56 : x
  2. Step 2: Convert to fraction form
    763.46/1,052.74 = 497.56/x
  3. Step 3: Cross multiply
    763.46x = 1,052.74 × 497.56
  4. Step 4: Simplify right side
    763.46x = 523,801.31
  5. Step 5: Solve for x
    x = 523,801.31/763.46
  6. Step 6: Final answer
    x = 686.09

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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.