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Finding the Fourth Proportional to 808.62, 1,213.47 and 288.61

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Solution

The fourth proportional to 808.62, 1,213.47 and 288.61 is: 433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.62 : 1,213.47 = 288.61 : x
  2. Step 2: Convert to fraction form
    808.62/1,213.47 = 288.61/x
  3. Step 3: Cross multiply
    808.62x = 1,213.47 × 288.61
  4. Step 4: Simplify right side
    808.62x = 350,219.58
  5. Step 5: Solve for x
    x = 350,219.58/808.62
  6. Step 6: Final answer
    x = 433.11

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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.