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Finding the Fourth Proportional to 808.91, 1,213.06 and 260.84

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Solution

The fourth proportional to 808.91, 1,213.06 and 260.84 is: 391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.91 : 1,213.06 = 260.84 : x
  2. Step 2: Convert to fraction form
    808.91/1,213.06 = 260.84/x
  3. Step 3: Cross multiply
    808.91x = 1,213.06 × 260.84
  4. Step 4: Simplify right side
    808.91x = 316,414.57
  5. Step 5: Solve for x
    x = 316,414.57/808.91
  6. Step 6: Final answer
    x = 391.16

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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.