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Finding the Fourth Proportional to 709.46, 1,062.12 and 527.66

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Solution

The fourth proportional to 709.46, 1,062.12 and 527.66 is: 789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.46 : 1,062.12 = 527.66 : x
  2. Step 2: Convert to fraction form
    709.46/1,062.12 = 527.66/x
  3. Step 3: Cross multiply
    709.46x = 1,062.12 × 527.66
  4. Step 4: Simplify right side
    709.46x = 560,438.24
  5. Step 5: Solve for x
    x = 560,438.24/709.46
  6. Step 6: Final answer
    x = 789.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.