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Finding the Fourth Proportional to 678.60, 1,016.55 and 389.70

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Solution

The fourth proportional to 678.60, 1,016.55 and 389.70 is: 583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.60 : 1,016.55 = 389.70 : x
  2. Step 2: Convert to fraction form
    678.60/1,016.55 = 389.70/x
  3. Step 3: Cross multiply
    678.60x = 1,016.55 × 389.70
  4. Step 4: Simplify right side
    678.60x = 396,149.54
  5. Step 5: Solve for x
    x = 396,149.54/678.60
  6. Step 6: Final answer
    x = 583.77

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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.