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Finding the Fourth Proportional to 947.56, 1,307.64 and 527.92

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Solution

The fourth proportional to 947.56, 1,307.64 and 527.92 is: 728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.56 : 1,307.64 = 527.92 : x
  2. Step 2: Convert to fraction form
    947.56/1,307.64 = 527.92/x
  3. Step 3: Cross multiply
    947.56x = 1,307.64 × 527.92
  4. Step 4: Simplify right side
    947.56x = 690,329.31
  5. Step 5: Solve for x
    x = 690,329.31/947.56
  6. Step 6: Final answer
    x = 728.53

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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.