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Finding the Fourth Proportional to 698.18, 1,046.28 and 661.22

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Solution

The fourth proportional to 698.18, 1,046.28 and 661.22 is: 990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.18 : 1,046.28 = 661.22 : x
  2. Step 2: Convert to fraction form
    698.18/1,046.28 = 661.22/x
  3. Step 3: Cross multiply
    698.18x = 1,046.28 × 661.22
  4. Step 4: Simplify right side
    698.18x = 691,821.26
  5. Step 5: Solve for x
    x = 691,821.26/698.18
  6. Step 6: Final answer
    x = 990.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.