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Finding the Fourth Proportional to 1,031.76, 1,546.88 and 483.62

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Solution

The fourth proportional to 1,031.76, 1,546.88 and 483.62 is: 725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.76 : 1,546.88 = 483.62 : x
  2. Step 2: Convert to fraction form
    1,031.76/1,546.88 = 483.62/x
  3. Step 3: Cross multiply
    1,031.76x = 1,546.88 × 483.62
  4. Step 4: Simplify right side
    1,031.76x = 748,091.95
  5. Step 5: Solve for x
    x = 748,091.95/1,031.76
  6. Step 6: Final answer
    x = 725.06

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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.