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Finding the Fourth Proportional to 778.66, 1,167.85 and 258.67

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Solution

The fourth proportional to 778.66, 1,167.85 and 258.67 is: 387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.66 : 1,167.85 = 258.67 : x
  2. Step 2: Convert to fraction form
    778.66/1,167.85 = 258.67/x
  3. Step 3: Cross multiply
    778.66x = 1,167.85 × 258.67
  4. Step 4: Simplify right side
    778.66x = 302,087.76
  5. Step 5: Solve for x
    x = 302,087.76/778.66
  6. Step 6: Final answer
    x = 387.96

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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.