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Finding the Fourth Proportional to 1,099.68, 1,641.66 and 1,027.86

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Solution

The fourth proportional to 1,099.68, 1,641.66 and 1,027.86 is: 1,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.68 : 1,641.66 = 1,027.86 : x
  2. Step 2: Convert to fraction form
    1,099.68/1,641.66 = 1,027.86/x
  3. Step 3: Cross multiply
    1,099.68x = 1,641.66 × 1,027.86
  4. Step 4: Simplify right side
    1,099.68x = 1,687,396.65
  5. Step 5: Solve for x
    x = 1,687,396.65/1,099.68
  6. Step 6: Final answer
    x = 1,534.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.