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Finding the Fourth Proportional to 807.74, 1,211.49 and 259.85

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Solution

The fourth proportional to 807.74, 1,211.49 and 259.85 is: 389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.74 : 1,211.49 = 259.85 : x
  2. Step 2: Convert to fraction form
    807.74/1,211.49 = 259.85/x
  3. Step 3: Cross multiply
    807.74x = 1,211.49 × 259.85
  4. Step 4: Simplify right side
    807.74x = 314,808.71
  5. Step 5: Solve for x
    x = 314,808.71/807.74
  6. Step 6: Final answer
    x = 389.74

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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.