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Finding the Fourth Proportional to 708.78, 1,063.17 and 292.21

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Solution

The fourth proportional to 708.78, 1,063.17 and 292.21 is: 438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.78 : 1,063.17 = 292.21 : x
  2. Step 2: Convert to fraction form
    708.78/1,063.17 = 292.21/x
  3. Step 3: Cross multiply
    708.78x = 1,063.17 × 292.21
  4. Step 4: Simplify right side
    708.78x = 310,668.91
  5. Step 5: Solve for x
    x = 310,668.91/708.78
  6. Step 6: Final answer
    x = 438.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.