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Finding the Fourth Proportional to 863.61, 1,294 and 452.13

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Solution

The fourth proportional to 863.61, 1,294 and 452.13 is: 677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.61 : 1,294 = 452.13 : x
  2. Step 2: Convert to fraction form
    863.61/1,294 = 452.13/x
  3. Step 3: Cross multiply
    863.61x = 1,294 × 452.13
  4. Step 4: Simplify right side
    863.61x = 585,056.22
  5. Step 5: Solve for x
    x = 585,056.22/863.61
  6. Step 6: Final answer
    x = 677.45

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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.