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Finding the Fourth Proportional to 1,022.74, 1,411.41 and 724.52

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Solution

The fourth proportional to 1,022.74, 1,411.41 and 724.52 is: 999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.74 : 1,411.41 = 724.52 : x
  2. Step 2: Convert to fraction form
    1,022.74/1,411.41 = 724.52/x
  3. Step 3: Cross multiply
    1,022.74x = 1,411.41 × 724.52
  4. Step 4: Simplify right side
    1,022.74x = 1,022,594.77
  5. Step 5: Solve for x
    x = 1,022,594.77/1,022.74
  6. Step 6: Final answer
    x = 999.86

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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.