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Finding the Fourth Proportional to 808.14, 1,212.24 and 260.70

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Solution

The fourth proportional to 808.14, 1,212.24 and 260.70 is: 391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.14 : 1,212.24 = 260.70 : x
  2. Step 2: Convert to fraction form
    808.14/1,212.24 = 260.70/x
  3. Step 3: Cross multiply
    808.14x = 1,212.24 × 260.70
  4. Step 4: Simplify right side
    808.14x = 316,030.97
  5. Step 5: Solve for x
    x = 316,030.97/808.14
  6. Step 6: Final answer
    x = 391.06

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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.