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Finding the Fourth Proportional to 778.53, 1,074.36 and 424.46

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Solution

The fourth proportional to 778.53, 1,074.36 and 424.46 is: 585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.53 : 1,074.36 = 424.46 : x
  2. Step 2: Convert to fraction form
    778.53/1,074.36 = 424.46/x
  3. Step 3: Cross multiply
    778.53x = 1,074.36 × 424.46
  4. Step 4: Simplify right side
    778.53x = 456,022.85
  5. Step 5: Solve for x
    x = 456,022.85/778.53
  6. Step 6: Final answer
    x = 585.75

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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.