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Finding the Fourth Proportional to 805.73, 1,112.15 and 469.73

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Solution

The fourth proportional to 805.73, 1,112.15 and 469.73 is: 648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.73 : 1,112.15 = 469.73 : x
  2. Step 2: Convert to fraction form
    805.73/1,112.15 = 469.73/x
  3. Step 3: Cross multiply
    805.73x = 1,112.15 × 469.73
  4. Step 4: Simplify right side
    805.73x = 522,414.17
  5. Step 5: Solve for x
    x = 522,414.17/805.73
  6. Step 6: Final answer
    x = 648.38

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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.