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Finding the Fourth Proportional to 778.33, 1,073.64 and 498.46

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Solution

The fourth proportional to 778.33, 1,073.64 and 498.46 is: 687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.33 : 1,073.64 = 498.46 : x
  2. Step 2: Convert to fraction form
    778.33/1,073.64 = 498.46/x
  3. Step 3: Cross multiply
    778.33x = 1,073.64 × 498.46
  4. Step 4: Simplify right side
    778.33x = 535,164.10
  5. Step 5: Solve for x
    x = 535,164.10/778.33
  6. Step 6: Final answer
    x = 687.58

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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.