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Finding the Fourth Proportional to 778.80, 1,168.54 and 431.72

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Solution

The fourth proportional to 778.80, 1,168.54 and 431.72 is: 647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.80 : 1,168.54 = 431.72 : x
  2. Step 2: Convert to fraction form
    778.80/1,168.54 = 431.72/x
  3. Step 3: Cross multiply
    778.80x = 1,168.54 × 431.72
  4. Step 4: Simplify right side
    778.80x = 504,475.17
  5. Step 5: Solve for x
    x = 504,475.17/778.80
  6. Step 6: Final answer
    x = 647.76

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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.