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Finding the Fourth Proportional to 947.56, 1,308.14 and 616.18

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Solution

The fourth proportional to 947.56, 1,308.14 and 616.18 is: 850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.56 : 1,308.14 = 616.18 : x
  2. Step 2: Convert to fraction form
    947.56/1,308.14 = 616.18/x
  3. Step 3: Cross multiply
    947.56x = 1,308.14 × 616.18
  4. Step 4: Simplify right side
    947.56x = 806,049.71
  5. Step 5: Solve for x
    x = 806,049.71/947.56
  6. Step 6: Final answer
    x = 850.66

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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.