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Finding the Fourth Proportional to 1,400.25, 2,098.95 and 578.97

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Solution

The fourth proportional to 1,400.25, 2,098.95 and 578.97 is: 867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.25 : 2,098.95 = 578.97 : x
  2. Step 2: Convert to fraction form
    1,400.25/2,098.95 = 578.97/x
  3. Step 3: Cross multiply
    1,400.25x = 2,098.95 × 578.97
  4. Step 4: Simplify right side
    1,400.25x = 1,215,229.08
  5. Step 5: Solve for x
    x = 1,215,229.08/1,400.25
  6. Step 6: Final answer
    x = 867.87

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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.