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Finding the Fourth Proportional to 519.84, 780.24 and 507.96

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Solution

The fourth proportional to 519.84, 780.24 and 507.96 is: 762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.84 : 780.24 = 507.96 : x
  2. Step 2: Convert to fraction form
    519.84/780.24 = 507.96/x
  3. Step 3: Cross multiply
    519.84x = 780.24 × 507.96
  4. Step 4: Simplify right side
    519.84x = 396,330.71
  5. Step 5: Solve for x
    x = 396,330.71/519.84
  6. Step 6: Final answer
    x = 762.41

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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.