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Finding the Fourth Proportional to 947.10, 1,306.98 and 527.46

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Solution

The fourth proportional to 947.10, 1,306.98 and 527.46 is: 727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.10 : 1,306.98 = 527.46 : x
  2. Step 2: Convert to fraction form
    947.10/1,306.98 = 527.46/x
  3. Step 3: Cross multiply
    947.10x = 1,306.98 × 527.46
  4. Step 4: Simplify right side
    947.10x = 689,379.67
  5. Step 5: Solve for x
    x = 689,379.67/947.10
  6. Step 6: Final answer
    x = 727.88

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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.