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Finding the Fourth Proportional to 778.68, 1,074.44 and 463.94

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Solution

The fourth proportional to 778.68, 1,074.44 and 463.94 is: 640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.68 : 1,074.44 = 463.94 : x
  2. Step 2: Convert to fraction form
    778.68/1,074.44 = 463.94/x
  3. Step 3: Cross multiply
    778.68x = 1,074.44 × 463.94
  4. Step 4: Simplify right side
    778.68x = 498,475.69
  5. Step 5: Solve for x
    x = 498,475.69/778.68
  6. Step 6: Final answer
    x = 640.15

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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.