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Finding the Fourth Proportional to 778.56, 1,074.24 and 463.80

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Solution

The fourth proportional to 778.56, 1,074.24 and 463.80 is: 639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.56 : 1,074.24 = 463.80 : x
  2. Step 2: Convert to fraction form
    778.56/1,074.24 = 463.80/x
  3. Step 3: Cross multiply
    778.56x = 1,074.24 × 463.80
  4. Step 4: Simplify right side
    778.56x = 498,232.51
  5. Step 5: Solve for x
    x = 498,232.51/778.56
  6. Step 6: Final answer
    x = 639.94

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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.