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Finding the Fourth Proportional to 1,104.75, 1,652.87 and 1,096.85

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Solution

The fourth proportional to 1,104.75, 1,652.87 and 1,096.85 is: 1,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.75 : 1,652.87 = 1,096.85 : x
  2. Step 2: Convert to fraction form
    1,104.75/1,652.87 = 1,096.85/x
  3. Step 3: Cross multiply
    1,104.75x = 1,652.87 × 1,096.85
  4. Step 4: Simplify right side
    1,104.75x = 1,812,957.33
  5. Step 5: Solve for x
    x = 1,812,957.33/1,104.75
  6. Step 6: Final answer
    x = 1,641.06

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Why These Related Problems?

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