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Finding the Fourth Proportional to 862.43, 1,293.83 and 314.61

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Solution

The fourth proportional to 862.43, 1,293.83 and 314.61 is: 471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.43 : 1,293.83 = 314.61 : x
  2. Step 2: Convert to fraction form
    862.43/1,293.83 = 314.61/x
  3. Step 3: Cross multiply
    862.43x = 1,293.83 × 314.61
  4. Step 4: Simplify right side
    862.43x = 407,051.86
  5. Step 5: Solve for x
    x = 407,051.86/862.43
  6. Step 6: Final answer
    x = 471.98

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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.