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Finding the Fourth Proportional to 678.73, 1,015.78 and 418.89

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Solution

The fourth proportional to 678.73, 1,015.78 and 418.89 is: 626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.73 : 1,015.78 = 418.89 : x
  2. Step 2: Convert to fraction form
    678.73/1,015.78 = 418.89/x
  3. Step 3: Cross multiply
    678.73x = 1,015.78 × 418.89
  4. Step 4: Simplify right side
    678.73x = 425,500.08
  5. Step 5: Solve for x
    x = 425,500.08/678.73
  6. Step 6: Final answer
    x = 626.91

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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.