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Finding the Fourth Proportional to 778.03, 1,166.87 and 257.90

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Solution

The fourth proportional to 778.03, 1,166.87 and 257.90 is: 386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.03 : 1,166.87 = 257.90 : x
  2. Step 2: Convert to fraction form
    778.03/1,166.87 = 257.90/x
  3. Step 3: Cross multiply
    778.03x = 1,166.87 × 257.90
  4. Step 4: Simplify right side
    778.03x = 300,937.40
  5. Step 5: Solve for x
    x = 300,937.40/778.03
  6. Step 6: Final answer
    x = 386.80

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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.