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Finding the Fourth Proportional to 1,115.24, 1,669.61 and 679.46

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Solution

The fourth proportional to 1,115.24, 1,669.61 and 679.46 is: 1,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.24 : 1,669.61 = 679.46 : x
  2. Step 2: Convert to fraction form
    1,115.24/1,669.61 = 679.46/x
  3. Step 3: Cross multiply
    1,115.24x = 1,669.61 × 679.46
  4. Step 4: Simplify right side
    1,115.24x = 1,134,426.56
  5. Step 5: Solve for x
    x = 1,134,426.56/1,115.24
  6. Step 6: Final answer
    x = 1,017.21

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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.