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Finding the Fourth Proportional to 863.97, 1,294.80 and 315.63

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Solution

The fourth proportional to 863.97, 1,294.80 and 315.63 is: 473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.97 : 1,294.80 = 315.63 : x
  2. Step 2: Convert to fraction form
    863.97/1,294.80 = 315.63/x
  3. Step 3: Cross multiply
    863.97x = 1,294.80 × 315.63
  4. Step 4: Simplify right side
    863.97x = 408,678.32
  5. Step 5: Solve for x
    x = 408,678.32/863.97
  6. Step 6: Final answer
    x = 473.03

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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.