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Finding the Fourth Proportional to 778.10, 1,167.32 and 258.22

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Solution

The fourth proportional to 778.10, 1,167.32 and 258.22 is: 387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.10 : 1,167.32 = 258.22 : x
  2. Step 2: Convert to fraction form
    778.10/1,167.32 = 258.22/x
  3. Step 3: Cross multiply
    778.10x = 1,167.32 × 258.22
  4. Step 4: Simplify right side
    778.10x = 301,425.37
  5. Step 5: Solve for x
    x = 301,425.37/778.10
  6. Step 6: Final answer
    x = 387.39

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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.