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Finding the Fourth Proportional to 1,608.77, 2,414.52 and 635.55

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Solution

The fourth proportional to 1,608.77, 2,414.52 and 635.55 is: 953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.77 : 2,414.52 = 635.55 : x
  2. Step 2: Convert to fraction form
    1,608.77/2,414.52 = 635.55/x
  3. Step 3: Cross multiply
    1,608.77x = 2,414.52 × 635.55
  4. Step 4: Simplify right side
    1,608.77x = 1,534,545.01
  5. Step 5: Solve for x
    x = 1,534,545.01/1,608.77
  6. Step 6: Final answer
    x = 953.87

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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.