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Finding the Fourth Proportional to 1,452.56, 2,177.95 and 585.86

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Solution

The fourth proportional to 1,452.56, 2,177.95 and 585.86 is: 878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.56 : 2,177.95 = 585.86 : x
  2. Step 2: Convert to fraction form
    1,452.56/2,177.95 = 585.86/x
  3. Step 3: Cross multiply
    1,452.56x = 2,177.95 × 585.86
  4. Step 4: Simplify right side
    1,452.56x = 1,275,962.90
  5. Step 5: Solve for x
    x = 1,275,962.90/1,452.56
  6. Step 6: Final answer
    x = 878.43

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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.