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Finding the Fourth Proportional to 778.27, 1,167.10 and 291.05

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Solution

The fourth proportional to 778.27, 1,167.10 and 291.05 is: 436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.27 : 1,167.10 = 291.05 : x
  2. Step 2: Convert to fraction form
    778.27/1,167.10 = 291.05/x
  3. Step 3: Cross multiply
    778.27x = 1,167.10 × 291.05
  4. Step 4: Simplify right side
    778.27x = 339,686.65
  5. Step 5: Solve for x
    x = 339,686.65/778.27
  6. Step 6: Final answer
    x = 436.47

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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.