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Finding the Fourth Proportional to 778.10, 1,073.91 and 498.26

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Solution

The fourth proportional to 778.10, 1,073.91 and 498.26 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.10 : 1,073.91 = 498.26 : x
  2. Step 2: Convert to fraction form
    778.10/1,073.91 = 498.26/x
  3. Step 3: Cross multiply
    778.10x = 1,073.91 × 498.26
  4. Step 4: Simplify right side
    778.10x = 535,081.03
  5. Step 5: Solve for x
    x = 535,081.03/778.10
  6. Step 6: Final answer
    x = 687.68

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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.