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Finding the Fourth Proportional to 708.82, 1,063.17 and 246.52

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Solution

The fourth proportional to 708.82, 1,063.17 and 246.52 is: 369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.82 : 1,063.17 = 246.52 : x
  2. Step 2: Convert to fraction form
    708.82/1,063.17 = 246.52/x
  3. Step 3: Cross multiply
    708.82x = 1,063.17 × 246.52
  4. Step 4: Simplify right side
    708.82x = 262,092.67
  5. Step 5: Solve for x
    x = 262,092.67/708.82
  6. Step 6: Final answer
    x = 369.76

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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.