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Finding the Fourth Proportional to 778.04, 1,164.56 and 737.96

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Solution

The fourth proportional to 778.04, 1,164.56 and 737.96 is: 1,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.04 : 1,164.56 = 737.96 : x
  2. Step 2: Convert to fraction form
    778.04/1,164.56 = 737.96/x
  3. Step 3: Cross multiply
    778.04x = 1,164.56 × 737.96
  4. Step 4: Simplify right side
    778.04x = 859,398.70
  5. Step 5: Solve for x
    x = 859,398.70/778.04
  6. Step 6: Final answer
    x = 1,104.57

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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.