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Finding the Fourth Proportional to 808.63, 1,213.13 and 462.14

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Solution

The fourth proportional to 808.63, 1,213.13 and 462.14 is: 693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.63 : 1,213.13 = 462.14 : x
  2. Step 2: Convert to fraction form
    808.63/1,213.13 = 462.14/x
  3. Step 3: Cross multiply
    808.63x = 1,213.13 × 462.14
  4. Step 4: Simplify right side
    808.63x = 560,635.90
  5. Step 5: Solve for x
    x = 560,635.90/808.63
  6. Step 6: Final answer
    x = 693.32

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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.