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Finding the Fourth Proportional to 698.11, 1,047.18 and 679.90

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Solution

The fourth proportional to 698.11, 1,047.18 and 679.90 is: 1,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.11 : 1,047.18 = 679.90 : x
  2. Step 2: Convert to fraction form
    698.11/1,047.18 = 679.90/x
  3. Step 3: Cross multiply
    698.11x = 1,047.18 × 679.90
  4. Step 4: Simplify right side
    698.11x = 711,977.68
  5. Step 5: Solve for x
    x = 711,977.68/698.11
  6. Step 6: Final answer
    x = 1,019.86

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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.