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Finding the Fourth Proportional to 1,115.12, 1,671.46 and 749

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Solution

The fourth proportional to 1,115.12, 1,671.46 and 749 is: 1,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.12 : 1,671.46 = 749 : x
  2. Step 2: Convert to fraction form
    1,115.12/1,671.46 = 749/x
  3. Step 3: Cross multiply
    1,115.12x = 1,671.46 × 749
  4. Step 4: Simplify right side
    1,115.12x = 1,251,923.54
  5. Step 5: Solve for x
    x = 1,251,923.54/1,115.12
  6. Step 6: Final answer
    x = 1,122.68

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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.