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Finding the Fourth Proportional to 862.83, 1,294.07 and 314.87

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Solution

The fourth proportional to 862.83, 1,294.07 and 314.87 is: 472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.83 : 1,294.07 = 314.87 : x
  2. Step 2: Convert to fraction form
    862.83/1,294.07 = 314.87/x
  3. Step 3: Cross multiply
    862.83x = 1,294.07 × 314.87
  4. Step 4: Simplify right side
    862.83x = 407,455.78
  5. Step 5: Solve for x
    x = 407,455.78/862.83
  6. Step 6: Final answer
    x = 472.23

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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.