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Finding the Fourth Proportional to 1,454.48, 2,180.65 and 466.73

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Solution

The fourth proportional to 1,454.48, 2,180.65 and 466.73 is: 699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.48 : 2,180.65 = 466.73 : x
  2. Step 2: Convert to fraction form
    1,454.48/2,180.65 = 466.73/x
  3. Step 3: Cross multiply
    1,454.48x = 2,180.65 × 466.73
  4. Step 4: Simplify right side
    1,454.48x = 1,017,761.54
  5. Step 5: Solve for x
    x = 1,017,761.54/1,454.48
  6. Step 6: Final answer
    x = 699.74

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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.