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Finding the Fourth Proportional to 1,031.15, 1,546.73 and 483.86

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Solution

The fourth proportional to 1,031.15, 1,546.73 and 483.86 is: 725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.15 : 1,546.73 = 483.86 : x
  2. Step 2: Convert to fraction form
    1,031.15/1,546.73 = 483.86/x
  3. Step 3: Cross multiply
    1,031.15x = 1,546.73 × 483.86
  4. Step 4: Simplify right side
    1,031.15x = 748,400.78
  5. Step 5: Solve for x
    x = 748,400.78/1,031.15
  6. Step 6: Final answer
    x = 725.79

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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.