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Finding the Fourth Proportional to 778.16, 1,167.12 and 258.18

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Solution

The fourth proportional to 778.16, 1,167.12 and 258.18 is: 387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.16 : 1,167.12 = 258.18 : x
  2. Step 2: Convert to fraction form
    778.16/1,167.12 = 258.18/x
  3. Step 3: Cross multiply
    778.16x = 1,167.12 × 258.18
  4. Step 4: Simplify right side
    778.16x = 301,327.04
  5. Step 5: Solve for x
    x = 301,327.04/778.16
  6. Step 6: Final answer
    x = 387.23

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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.