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Finding the Fourth Proportional to 1,109.02, 1,661.68 and 743.90

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Solution

The fourth proportional to 1,109.02, 1,661.68 and 743.90 is: 1,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.02 : 1,661.68 = 743.90 : x
  2. Step 2: Convert to fraction form
    1,109.02/1,661.68 = 743.90/x
  3. Step 3: Cross multiply
    1,109.02x = 1,661.68 × 743.90
  4. Step 4: Simplify right side
    1,109.02x = 1,236,123.75
  5. Step 5: Solve for x
    x = 1,236,123.75/1,109.02
  6. Step 6: Final answer
    x = 1,114.61

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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.