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Finding the Fourth Proportional to 1,221.80, 1,686.35 and 1,024.97

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Solution

The fourth proportional to 1,221.80, 1,686.35 and 1,024.97 is: 1,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.80 : 1,686.35 = 1,024.97 : x
  2. Step 2: Convert to fraction form
    1,221.80/1,686.35 = 1,024.97/x
  3. Step 3: Cross multiply
    1,221.80x = 1,686.35 × 1,024.97
  4. Step 4: Simplify right side
    1,221.80x = 1,728,452.29
  5. Step 5: Solve for x
    x = 1,728,452.29/1,221.80
  6. Step 6: Final answer
    x = 1,414.68

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