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Finding the Fourth Proportional to 862.50, 1,293.06 and 496.86

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Solution

The fourth proportional to 862.50, 1,293.06 and 496.86 is: 744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.50 : 1,293.06 = 496.86 : x
  2. Step 2: Convert to fraction form
    862.50/1,293.06 = 496.86/x
  3. Step 3: Cross multiply
    862.50x = 1,293.06 × 496.86
  4. Step 4: Simplify right side
    862.50x = 642,470.44
  5. Step 5: Solve for x
    x = 642,470.44/862.50
  6. Step 6: Final answer
    x = 744.89

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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.