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Finding the Fourth Proportional to 1,118.29, 1,542.67 and 698.97

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Solution

The fourth proportional to 1,118.29, 1,542.67 and 698.97 is: 964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.29 : 1,542.67 = 698.97 : x
  2. Step 2: Convert to fraction form
    1,118.29/1,542.67 = 698.97/x
  3. Step 3: Cross multiply
    1,118.29x = 1,542.67 × 698.97
  4. Step 4: Simplify right side
    1,118.29x = 1,078,280.05
  5. Step 5: Solve for x
    x = 1,078,280.05/1,118.29
  6. Step 6: Final answer
    x = 964.22

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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.