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Finding the Fourth Proportional to 863.33, 1,294.55 and 424.61

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Solution

The fourth proportional to 863.33, 1,294.55 and 424.61 is: 636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.33 : 1,294.55 = 424.61 : x
  2. Step 2: Convert to fraction form
    863.33/1,294.55 = 424.61/x
  3. Step 3: Cross multiply
    863.33x = 1,294.55 × 424.61
  4. Step 4: Simplify right side
    863.33x = 549,676.73
  5. Step 5: Solve for x
    x = 549,676.73/863.33
  6. Step 6: Final answer
    x = 636.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.