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Finding the Fourth Proportional to 768.86, 1,061.45 and 517.15

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Solution

The fourth proportional to 768.86, 1,061.45 and 517.15 is: 713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.86 : 1,061.45 = 517.15 : x
  2. Step 2: Convert to fraction form
    768.86/1,061.45 = 517.15/x
  3. Step 3: Cross multiply
    768.86x = 1,061.45 × 517.15
  4. Step 4: Simplify right side
    768.86x = 548,923.63
  5. Step 5: Solve for x
    x = 548,923.63/768.86
  6. Step 6: Final answer
    x = 713.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.