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Finding the Fourth Proportional to 863.04, 1,294.68 and 285.72

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Solution

The fourth proportional to 863.04, 1,294.68 and 285.72 is: 428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.04 : 1,294.68 = 285.72 : x
  2. Step 2: Convert to fraction form
    863.04/1,294.68 = 285.72/x
  3. Step 3: Cross multiply
    863.04x = 1,294.68 × 285.72
  4. Step 4: Simplify right side
    863.04x = 369,915.97
  5. Step 5: Solve for x
    x = 369,915.97/863.04
  6. Step 6: Final answer
    x = 428.62

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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.