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Finding the Fourth Proportional to 808.13, 1,115.24 and 458.84

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Solution

The fourth proportional to 808.13, 1,115.24 and 458.84 is: 633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.13 : 1,115.24 = 458.84 : x
  2. Step 2: Convert to fraction form
    808.13/1,115.24 = 458.84/x
  3. Step 3: Cross multiply
    808.13x = 1,115.24 × 458.84
  4. Step 4: Simplify right side
    808.13x = 511,708.85
  5. Step 5: Solve for x
    x = 511,708.85/808.13
  6. Step 6: Final answer
    x = 633.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.