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Finding the Fourth Proportional to 798.97, 1,102.56 and 449.65

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Solution

The fourth proportional to 798.97, 1,102.56 and 449.65 is: 620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.97 : 1,102.56 = 449.65 : x
  2. Step 2: Convert to fraction form
    798.97/1,102.56 = 449.65/x
  3. Step 3: Cross multiply
    798.97x = 1,102.56 × 449.65
  4. Step 4: Simplify right side
    798.97x = 495,766.10
  5. Step 5: Solve for x
    x = 495,766.10/798.97
  6. Step 6: Final answer
    x = 620.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.