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Finding the Fourth Proportional to 808.86, 1,116.48 and 459.78

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Solution

The fourth proportional to 808.86, 1,116.48 and 459.78 is: 634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.86 : 1,116.48 = 459.78 : x
  2. Step 2: Convert to fraction form
    808.86/1,116.48 = 459.78/x
  3. Step 3: Cross multiply
    808.86x = 1,116.48 × 459.78
  4. Step 4: Simplify right side
    808.86x = 513,335.17
  5. Step 5: Solve for x
    x = 513,335.17/808.86
  6. Step 6: Final answer
    x = 634.64

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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.