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Finding the Fourth Proportional to 519.59, 780.38 and 500.55

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Solution

The fourth proportional to 519.59, 780.38 and 500.55 is: 751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.59 : 780.38 = 500.55 : x
  2. Step 2: Convert to fraction form
    519.59/780.38 = 500.55/x
  3. Step 3: Cross multiply
    519.59x = 780.38 × 500.55
  4. Step 4: Simplify right side
    519.59x = 390,616.71
  5. Step 5: Solve for x
    x = 390,616.71/519.59
  6. Step 6: Final answer
    x = 751.79

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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.