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Finding the Fourth Proportional to 862.65, 1,292.96 and 496.70

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Solution

The fourth proportional to 862.65, 1,292.96 and 496.70 is: 744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.65 : 1,292.96 = 496.70 : x
  2. Step 2: Convert to fraction form
    862.65/1,292.96 = 496.70/x
  3. Step 3: Cross multiply
    862.65x = 1,292.96 × 496.70
  4. Step 4: Simplify right side
    862.65x = 642,204.28
  5. Step 5: Solve for x
    x = 642,204.28/862.65
  6. Step 6: Final answer
    x = 744.46

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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.