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Finding the Fourth Proportional to 778.65, 1,167.60 and 284.71

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Solution

The fourth proportional to 778.65, 1,167.60 and 284.71 is: 426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.65 : 1,167.60 = 284.71 : x
  2. Step 2: Convert to fraction form
    778.65/1,167.60 = 284.71/x
  3. Step 3: Cross multiply
    778.65x = 1,167.60 × 284.71
  4. Step 4: Simplify right side
    778.65x = 332,427.40
  5. Step 5: Solve for x
    x = 332,427.40/778.65
  6. Step 6: Final answer
    x = 426.93

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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.