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Finding the Fourth Proportional to 908.98, 1,363.81 and 518.74

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Solution

The fourth proportional to 908.98, 1,363.81 and 518.74 is: 778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.98 : 1,363.81 = 518.74 : x
  2. Step 2: Convert to fraction form
    908.98/1,363.81 = 518.74/x
  3. Step 3: Cross multiply
    908.98x = 1,363.81 × 518.74
  4. Step 4: Simplify right side
    908.98x = 707,462.80
  5. Step 5: Solve for x
    x = 707,462.80/908.98
  6. Step 6: Final answer
    x = 778.30

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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.