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Finding the Fourth Proportional to 798.55, 1,101.96 and 449.23

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Solution

The fourth proportional to 798.55, 1,101.96 and 449.23 is: 619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.55 : 1,101.96 = 449.23 : x
  2. Step 2: Convert to fraction form
    798.55/1,101.96 = 449.23/x
  3. Step 3: Cross multiply
    798.55x = 1,101.96 × 449.23
  4. Step 4: Simplify right side
    798.55x = 495,033.49
  5. Step 5: Solve for x
    x = 495,033.49/798.55
  6. Step 6: Final answer
    x = 619.92

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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.