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Finding the Fourth Proportional to 568.80, 786.44 and 519.60

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Solution

The fourth proportional to 568.80, 786.44 and 519.60 is: 718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.80 : 786.44 = 519.60 : x
  2. Step 2: Convert to fraction form
    568.80/786.44 = 519.60/x
  3. Step 3: Cross multiply
    568.80x = 786.44 × 519.60
  4. Step 4: Simplify right side
    568.80x = 408,634.22
  5. Step 5: Solve for x
    x = 408,634.22/568.80
  6. Step 6: Final answer
    x = 718.41

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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.