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Finding the Fourth Proportional to 1,046.87, 1,443.12 and 673.73

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Solution

The fourth proportional to 1,046.87, 1,443.12 and 673.73 is: 928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.87 : 1,443.12 = 673.73 : x
  2. Step 2: Convert to fraction form
    1,046.87/1,443.12 = 673.73/x
  3. Step 3: Cross multiply
    1,046.87x = 1,443.12 × 673.73
  4. Step 4: Simplify right side
    1,046.87x = 972,273.24
  5. Step 5: Solve for x
    x = 972,273.24/1,046.87
  6. Step 6: Final answer
    x = 928.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.