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Finding the Fourth Proportional to 559.37, 770.56 and 519.50

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Solution

The fourth proportional to 559.37, 770.56 and 519.50 is: 715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.37 : 770.56 = 519.50 : x
  2. Step 2: Convert to fraction form
    559.37/770.56 = 519.50/x
  3. Step 3: Cross multiply
    559.37x = 770.56 × 519.50
  4. Step 4: Simplify right side
    559.37x = 400,306.55
  5. Step 5: Solve for x
    x = 400,306.55/559.37
  6. Step 6: Final answer
    x = 715.64

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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.