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Finding the Fourth Proportional to 947.64, 1,307.76 and 527.97

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Solution

The fourth proportional to 947.64, 1,307.76 and 527.97 is: 728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.64 : 1,307.76 = 527.97 : x
  2. Step 2: Convert to fraction form
    947.64/1,307.76 = 527.97/x
  3. Step 3: Cross multiply
    947.64x = 1,307.76 × 527.97
  4. Step 4: Simplify right side
    947.64x = 690,458.05
  5. Step 5: Solve for x
    x = 690,458.05/947.64
  6. Step 6: Final answer
    x = 728.61

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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.