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Finding the Fourth Proportional to 556.79, 768.66 and 519.98

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Solution

The fourth proportional to 556.79, 768.66 and 519.98 is: 717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.79 : 768.66 = 519.98 : x
  2. Step 2: Convert to fraction form
    556.79/768.66 = 519.98/x
  3. Step 3: Cross multiply
    556.79x = 768.66 × 519.98
  4. Step 4: Simplify right side
    556.79x = 399,687.83
  5. Step 5: Solve for x
    x = 399,687.83/556.79
  6. Step 6: Final answer
    x = 717.84

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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.