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Finding the Fourth Proportional to 1,269.14, 1,900.66 and 747.90

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Solution

The fourth proportional to 1,269.14, 1,900.66 and 747.90 is: 1,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.14 : 1,900.66 = 747.90 : x
  2. Step 2: Convert to fraction form
    1,269.14/1,900.66 = 747.90/x
  3. Step 3: Cross multiply
    1,269.14x = 1,900.66 × 747.90
  4. Step 4: Simplify right side
    1,269.14x = 1,421,503.61
  5. Step 5: Solve for x
    x = 1,421,503.61/1,269.14
  6. Step 6: Final answer
    x = 1,120.05

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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.