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Finding the Fourth Proportional to 1,098.29, 1,648.15 and 611.69

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Solution

The fourth proportional to 1,098.29, 1,648.15 and 611.69 is: 917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.29 : 1,648.15 = 611.69 : x
  2. Step 2: Convert to fraction form
    1,098.29/1,648.15 = 611.69/x
  3. Step 3: Cross multiply
    1,098.29x = 1,648.15 × 611.69
  4. Step 4: Simplify right side
    1,098.29x = 1,008,147.10
  5. Step 5: Solve for x
    x = 1,008,147.10/1,098.29
  6. Step 6: Final answer
    x = 917.92

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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.