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Finding the Fourth Proportional to 747.73, 1,031.43 and 485.92

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Solution

The fourth proportional to 747.73, 1,031.43 and 485.92 is: 670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.73 : 1,031.43 = 485.92 : x
  2. Step 2: Convert to fraction form
    747.73/1,031.43 = 485.92/x
  3. Step 3: Cross multiply
    747.73x = 1,031.43 × 485.92
  4. Step 4: Simplify right side
    747.73x = 501,192.47
  5. Step 5: Solve for x
    x = 501,192.47/747.73
  6. Step 6: Final answer
    x = 670.29

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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.