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Finding the Fourth Proportional to 778.28, 1,167.86 and 291.30

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Solution

The fourth proportional to 778.28, 1,167.86 and 291.30 is: 437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.28 : 1,167.86 = 291.30 : x
  2. Step 2: Convert to fraction form
    778.28/1,167.86 = 291.30/x
  3. Step 3: Cross multiply
    778.28x = 1,167.86 × 291.30
  4. Step 4: Simplify right side
    778.28x = 340,196.16
  5. Step 5: Solve for x
    x = 340,196.16/778.28
  6. Step 6: Final answer
    x = 437.12

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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.