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Finding the Fourth Proportional to 862.96, 1,295.04 and 538.56

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Solution

The fourth proportional to 862.96, 1,295.04 and 538.56 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.96 : 1,295.04 = 538.56 : x
  2. Step 2: Convert to fraction form
    862.96/1,295.04 = 538.56/x
  3. Step 3: Cross multiply
    862.96x = 1,295.04 × 538.56
  4. Step 4: Simplify right side
    862.96x = 697,456.74
  5. Step 5: Solve for x
    x = 697,456.74/862.96
  6. Step 6: Final answer
    x = 808.21

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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.