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Finding the Fourth Proportional to 1,452.29, 2,177.07 and 527.61

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Solution

The fourth proportional to 1,452.29, 2,177.07 and 527.61 is: 790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.29 : 2,177.07 = 527.61 : x
  2. Step 2: Convert to fraction form
    1,452.29/2,177.07 = 527.61/x
  3. Step 3: Cross multiply
    1,452.29x = 2,177.07 × 527.61
  4. Step 4: Simplify right side
    1,452.29x = 1,148,649.35
  5. Step 5: Solve for x
    x = 1,148,649.35/1,452.29
  6. Step 6: Final answer
    x = 790.92

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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.