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Finding the Fourth Proportional to 1,648.67, 2,473.25 and 478.52

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Solution

The fourth proportional to 1,648.67, 2,473.25 and 478.52 is: 717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.67 : 2,473.25 = 478.52 : x
  2. Step 2: Convert to fraction form
    1,648.67/2,473.25 = 478.52/x
  3. Step 3: Cross multiply
    1,648.67x = 2,473.25 × 478.52
  4. Step 4: Simplify right side
    1,648.67x = 1,183,500.54
  5. Step 5: Solve for x
    x = 1,183,500.54/1,648.67
  6. Step 6: Final answer
    x = 717.85

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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.