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Finding the Fourth Proportional to 1,451.60, 2,177.82 and 527.14

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Solution

The fourth proportional to 1,451.60, 2,177.82 and 527.14 is: 790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.60 : 2,177.82 = 527.14 : x
  2. Step 2: Convert to fraction form
    1,451.60/2,177.82 = 527.14/x
  3. Step 3: Cross multiply
    1,451.60x = 2,177.82 × 527.14
  4. Step 4: Simplify right side
    1,451.60x = 1,148,008.61
  5. Step 5: Solve for x
    x = 1,148,008.61/1,451.60
  6. Step 6: Final answer
    x = 790.86

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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.