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Finding the Fourth Proportional to 947.07, 1,306.92 and 527.24

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Solution

The fourth proportional to 947.07, 1,306.92 and 527.24 is: 727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.07 : 1,306.92 = 527.24 : x
  2. Step 2: Convert to fraction form
    947.07/1,306.92 = 527.24/x
  3. Step 3: Cross multiply
    947.07x = 1,306.92 × 527.24
  4. Step 4: Simplify right side
    947.07x = 689,060.50
  5. Step 5: Solve for x
    x = 689,060.50/947.07
  6. Step 6: Final answer
    x = 727.57

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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.