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Finding the Fourth Proportional to 708.46, 1,060.32 and 519.82

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Solution

The fourth proportional to 708.46, 1,060.32 and 519.82 is: 777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.46 : 1,060.32 = 519.82 : x
  2. Step 2: Convert to fraction form
    708.46/1,060.32 = 519.82/x
  3. Step 3: Cross multiply
    708.46x = 1,060.32 × 519.82
  4. Step 4: Simplify right side
    708.46x = 551,175.54
  5. Step 5: Solve for x
    x = 551,175.54/708.46
  6. Step 6: Final answer
    x = 777.99

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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.