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Finding the Fourth Proportional to 747.80, 1,031.06 and 614.56

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Solution

The fourth proportional to 747.80, 1,031.06 and 614.56 is: 847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.80 : 1,031.06 = 614.56 : x
  2. Step 2: Convert to fraction form
    747.80/1,031.06 = 614.56/x
  3. Step 3: Cross multiply
    747.80x = 1,031.06 × 614.56
  4. Step 4: Simplify right side
    747.80x = 633,648.23
  5. Step 5: Solve for x
    x = 633,648.23/747.80
  6. Step 6: Final answer
    x = 847.35

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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.