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Finding the Fourth Proportional to 778.33, 1,073.73 and 498.43

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Solution

The fourth proportional to 778.33, 1,073.73 and 498.43 is: 687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.33 : 1,073.73 = 498.43 : x
  2. Step 2: Convert to fraction form
    778.33/1,073.73 = 498.43/x
  3. Step 3: Cross multiply
    778.33x = 1,073.73 × 498.43
  4. Step 4: Simplify right side
    778.33x = 535,176.56
  5. Step 5: Solve for x
    x = 535,176.56/778.33
  6. Step 6: Final answer
    x = 687.60

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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.