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Finding the Fourth Proportional to 863.13, 1,295.34 and 497.43

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Solution

The fourth proportional to 863.13, 1,295.34 and 497.43 is: 746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.13 : 1,295.34 = 497.43 : x
  2. Step 2: Convert to fraction form
    863.13/1,295.34 = 497.43/x
  3. Step 3: Cross multiply
    863.13x = 1,295.34 × 497.43
  4. Step 4: Simplify right side
    863.13x = 644,340.98
  5. Step 5: Solve for x
    x = 644,340.98/863.13
  6. Step 6: Final answer
    x = 746.52

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