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Finding the Fourth Proportional to 947.09, 1,306.94 and 527.42

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Solution

The fourth proportional to 947.09, 1,306.94 and 527.42 is: 727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.09 : 1,306.94 = 527.42 : x
  2. Step 2: Convert to fraction form
    947.09/1,306.94 = 527.42/x
  3. Step 3: Cross multiply
    947.09x = 1,306.94 × 527.42
  4. Step 4: Simplify right side
    947.09x = 689,306.93
  5. Step 5: Solve for x
    x = 689,306.93/947.09
  6. Step 6: Final answer
    x = 727.82

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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.