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Finding the Fourth Proportional to 947.31, 1,306.92 and 593.08

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Solution

The fourth proportional to 947.31, 1,306.92 and 593.08 is: 818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.31 : 1,306.92 = 593.08 : x
  2. Step 2: Convert to fraction form
    947.31/1,306.92 = 593.08/x
  3. Step 3: Cross multiply
    947.31x = 1,306.92 × 593.08
  4. Step 4: Simplify right side
    947.31x = 775,108.11
  5. Step 5: Solve for x
    x = 775,108.11/947.31
  6. Step 6: Final answer
    x = 818.22

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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.