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Finding the Fourth Proportional to 778.04, 1,167.14 and 257.90

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Solution

The fourth proportional to 778.04, 1,167.14 and 257.90 is: 386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.04 : 1,167.14 = 257.90 : x
  2. Step 2: Convert to fraction form
    778.04/1,167.14 = 257.90/x
  3. Step 3: Cross multiply
    778.04x = 1,167.14 × 257.90
  4. Step 4: Simplify right side
    778.04x = 301,005.41
  5. Step 5: Solve for x
    x = 301,005.41/778.04
  6. Step 6: Final answer
    x = 386.88

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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.