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Finding the Fourth Proportional to 685.71, 947.24 and 660.44

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Solution

The fourth proportional to 685.71, 947.24 and 660.44 is: 912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.71 : 947.24 = 660.44 : x
  2. Step 2: Convert to fraction form
    685.71/947.24 = 660.44/x
  3. Step 3: Cross multiply
    685.71x = 947.24 × 660.44
  4. Step 4: Simplify right side
    685.71x = 625,587.15
  5. Step 5: Solve for x
    x = 625,587.15/685.71
  6. Step 6: Final answer
    x = 912.32

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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.