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Finding the Fourth Proportional to 778.33, 1,074.02 and 479.53

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Solution

The fourth proportional to 778.33, 1,074.02 and 479.53 is: 661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.33 : 1,074.02 = 479.53 : x
  2. Step 2: Convert to fraction form
    778.33/1,074.02 = 479.53/x
  3. Step 3: Cross multiply
    778.33x = 1,074.02 × 479.53
  4. Step 4: Simplify right side
    778.33x = 515,019.73
  5. Step 5: Solve for x
    x = 515,019.73/778.33
  6. Step 6: Final answer
    x = 661.70

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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.