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Finding the Fourth Proportional to 801.06, 1,200.82 and 410.91

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Solution

The fourth proportional to 801.06, 1,200.82 and 410.91 is: 615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.06 : 1,200.82 = 410.91 : x
  2. Step 2: Convert to fraction form
    801.06/1,200.82 = 410.91/x
  3. Step 3: Cross multiply
    801.06x = 1,200.82 × 410.91
  4. Step 4: Simplify right side
    801.06x = 493,428.95
  5. Step 5: Solve for x
    x = 493,428.95/801.06
  6. Step 6: Final answer
    x = 615.97

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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.