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Finding the Fourth Proportional to 947.12, 1,308.13 and 631.88

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Solution

The fourth proportional to 947.12, 1,308.13 and 631.88 is: 872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.12 : 1,308.13 = 631.88 : x
  2. Step 2: Convert to fraction form
    947.12/1,308.13 = 631.88/x
  3. Step 3: Cross multiply
    947.12x = 1,308.13 × 631.88
  4. Step 4: Simplify right side
    947.12x = 826,573.06
  5. Step 5: Solve for x
    x = 826,573.06/947.12
  6. Step 6: Final answer
    x = 872.72

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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.