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Finding the Fourth Proportional to 1,031.46, 1,545.89 and 737.43

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Solution

The fourth proportional to 1,031.46, 1,545.89 and 737.43 is: 1,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.46 : 1,545.89 = 737.43 : x
  2. Step 2: Convert to fraction form
    1,031.46/1,545.89 = 737.43/x
  3. Step 3: Cross multiply
    1,031.46x = 1,545.89 × 737.43
  4. Step 4: Simplify right side
    1,031.46x = 1,139,985.66
  5. Step 5: Solve for x
    x = 1,139,985.66/1,031.46
  6. Step 6: Final answer
    x = 1,105.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.