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Finding the Fourth Proportional to 808.61, 1,213.08 and 462.11

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Solution

The fourth proportional to 808.61, 1,213.08 and 462.11 is: 693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.61 : 1,213.08 = 462.11 : x
  2. Step 2: Convert to fraction form
    808.61/1,213.08 = 462.11/x
  3. Step 3: Cross multiply
    808.61x = 1,213.08 × 462.11
  4. Step 4: Simplify right side
    808.61x = 560,570.33
  5. Step 5: Solve for x
    x = 560,570.33/808.61
  6. Step 6: Final answer
    x = 693.26

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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.