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Finding the Fourth Proportional to 708.60, 1,063.17 and 343.36

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Solution

The fourth proportional to 708.60, 1,063.17 and 343.36 is: 515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.60 : 1,063.17 = 343.36 : x
  2. Step 2: Convert to fraction form
    708.60/1,063.17 = 343.36/x
  3. Step 3: Cross multiply
    708.60x = 1,063.17 × 343.36
  4. Step 4: Simplify right side
    708.60x = 365,050.05
  5. Step 5: Solve for x
    x = 365,050.05/708.60
  6. Step 6: Final answer
    x = 515.17

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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.