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Finding the Fourth Proportional to 1,634.32, 2,451.72 and 660.24

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Solution

The fourth proportional to 1,634.32, 2,451.72 and 660.24 is: 990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.32 : 2,451.72 = 660.24 : x
  2. Step 2: Convert to fraction form
    1,634.32/2,451.72 = 660.24/x
  3. Step 3: Cross multiply
    1,634.32x = 2,451.72 × 660.24
  4. Step 4: Simplify right side
    1,634.32x = 1,618,723.61
  5. Step 5: Solve for x
    x = 1,618,723.61/1,634.32
  6. Step 6: Final answer
    x = 990.46

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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.