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Finding the Fourth Proportional to 863.46, 1,294.71 and 452.16

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Solution

The fourth proportional to 863.46, 1,294.71 and 452.16 is: 677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.46 : 1,294.71 = 452.16 : x
  2. Step 2: Convert to fraction form
    863.46/1,294.71 = 452.16/x
  3. Step 3: Cross multiply
    863.46x = 1,294.71 × 452.16
  4. Step 4: Simplify right side
    863.46x = 585,416.07
  5. Step 5: Solve for x
    x = 585,416.07/863.46
  6. Step 6: Final answer
    x = 677.99

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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.