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Finding the Fourth Proportional to 778.35, 1,167.83 and 291.29

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Solution

The fourth proportional to 778.35, 1,167.83 and 291.29 is: 437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.35 : 1,167.83 = 291.29 : x
  2. Step 2: Convert to fraction form
    778.35/1,167.83 = 291.29/x
  3. Step 3: Cross multiply
    778.35x = 1,167.83 × 291.29
  4. Step 4: Simplify right side
    778.35x = 340,169.91
  5. Step 5: Solve for x
    x = 340,169.91/778.35
  6. Step 6: Final answer
    x = 437.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.