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Finding the Fourth Proportional to 1,031.23, 1,546.82 and 484.03

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Solution

The fourth proportional to 1,031.23, 1,546.82 and 484.03 is: 726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.23 : 1,546.82 = 484.03 : x
  2. Step 2: Convert to fraction form
    1,031.23/1,546.82 = 484.03/x
  3. Step 3: Cross multiply
    1,031.23x = 1,546.82 × 484.03
  4. Step 4: Simplify right side
    1,031.23x = 748,701.00
  5. Step 5: Solve for x
    x = 748,701.00/1,031.23
  6. Step 6: Final answer
    x = 726.03

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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.