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Finding the Fourth Proportional to 947.72, 1,306.68 and 597.80

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Solution

The fourth proportional to 947.72, 1,306.68 and 597.80 is: 824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.72 : 1,306.68 = 597.80 : x
  2. Step 2: Convert to fraction form
    947.72/1,306.68 = 597.80/x
  3. Step 3: Cross multiply
    947.72x = 1,306.68 × 597.80
  4. Step 4: Simplify right side
    947.72x = 781,133.30
  5. Step 5: Solve for x
    x = 781,133.30/947.72
  6. Step 6: Final answer
    x = 824.22

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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.