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Finding the Fourth Proportional to 1,031.29, 1,546.20 and 483.19

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Solution

The fourth proportional to 1,031.29, 1,546.20 and 483.19 is: 724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.29 : 1,546.20 = 483.19 : x
  2. Step 2: Convert to fraction form
    1,031.29/1,546.20 = 483.19/x
  3. Step 3: Cross multiply
    1,031.29x = 1,546.20 × 483.19
  4. Step 4: Simplify right side
    1,031.29x = 747,108.38
  5. Step 5: Solve for x
    x = 747,108.38/1,031.29
  6. Step 6: Final answer
    x = 724.44

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