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Finding the Fourth Proportional to 949.29, 1,308.97 and 778.43

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Solution

The fourth proportional to 949.29, 1,308.97 and 778.43 is: 1,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.29 : 1,308.97 = 778.43 : x
  2. Step 2: Convert to fraction form
    949.29/1,308.97 = 778.43/x
  3. Step 3: Cross multiply
    949.29x = 1,308.97 × 778.43
  4. Step 4: Simplify right side
    949.29x = 1,018,937.62
  5. Step 5: Solve for x
    x = 1,018,937.62/949.29
  6. Step 6: Final answer
    x = 1,073.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.