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Finding the Fourth Proportional to 1,460.97, 2,191.45 and 627.85

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Solution

The fourth proportional to 1,460.97, 2,191.45 and 627.85 is: 941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.97 : 2,191.45 = 627.85 : x
  2. Step 2: Convert to fraction form
    1,460.97/2,191.45 = 627.85/x
  3. Step 3: Cross multiply
    1,460.97x = 2,191.45 × 627.85
  4. Step 4: Simplify right side
    1,460.97x = 1,375,901.88
  5. Step 5: Solve for x
    x = 1,375,901.88/1,460.97
  6. Step 6: Final answer
    x = 941.78

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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.