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Finding the Fourth Proportional to 862.92, 1,294.56 and 285.80

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Solution

The fourth proportional to 862.92, 1,294.56 and 285.80 is: 428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.92 : 1,294.56 = 285.80 : x
  2. Step 2: Convert to fraction form
    862.92/1,294.56 = 285.80/x
  3. Step 3: Cross multiply
    862.92x = 1,294.56 × 285.80
  4. Step 4: Simplify right side
    862.92x = 369,985.25
  5. Step 5: Solve for x
    x = 369,985.25/862.92
  6. Step 6: Final answer
    x = 428.76

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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.