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Finding the Fourth Proportional to 947.06, 1,306.86 and 527.41

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Solution

The fourth proportional to 947.06, 1,306.86 and 527.41 is: 727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.06 : 1,306.86 = 527.41 : x
  2. Step 2: Convert to fraction form
    947.06/1,306.86 = 527.41/x
  3. Step 3: Cross multiply
    947.06x = 1,306.86 × 527.41
  4. Step 4: Simplify right side
    947.06x = 689,251.03
  5. Step 5: Solve for x
    x = 689,251.03/947.06
  6. Step 6: Final answer
    x = 727.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.