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Finding the Fourth Proportional to 1,634.85, 2,452.32 and 660.87

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Solution

The fourth proportional to 1,634.85, 2,452.32 and 660.87 is: 991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.85 : 2,452.32 = 660.87 : x
  2. Step 2: Convert to fraction form
    1,634.85/2,452.32 = 660.87/x
  3. Step 3: Cross multiply
    1,634.85x = 2,452.32 × 660.87
  4. Step 4: Simplify right side
    1,634.85x = 1,620,664.72
  5. Step 5: Solve for x
    x = 1,620,664.72/1,634.85
  6. Step 6: Final answer
    x = 991.32

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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.