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Finding the Fourth Proportional to 778.42, 1,167.56 and 291.24

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Solution

The fourth proportional to 778.42, 1,167.56 and 291.24 is: 436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.42 : 1,167.56 = 291.24 : x
  2. Step 2: Convert to fraction form
    778.42/1,167.56 = 291.24/x
  3. Step 3: Cross multiply
    778.42x = 1,167.56 × 291.24
  4. Step 4: Simplify right side
    778.42x = 340,040.17
  5. Step 5: Solve for x
    x = 340,040.17/778.42
  6. Step 6: Final answer
    x = 436.83

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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.