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Finding the Fourth Proportional to 519.70, 778.56 and 502.34

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Solution

The fourth proportional to 519.70, 778.56 and 502.34 is: 752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.70 : 778.56 = 502.34 : x
  2. Step 2: Convert to fraction form
    519.70/778.56 = 502.34/x
  3. Step 3: Cross multiply
    519.70x = 778.56 × 502.34
  4. Step 4: Simplify right side
    519.70x = 391,101.83
  5. Step 5: Solve for x
    x = 391,101.83/519.70
  6. Step 6: Final answer
    x = 752.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.