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Finding the Fourth Proportional to 806.32, 1,112.77 and 452.27

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Solution

The fourth proportional to 806.32, 1,112.77 and 452.27 is: 624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.32 : 1,112.77 = 452.27 : x
  2. Step 2: Convert to fraction form
    806.32/1,112.77 = 452.27/x
  3. Step 3: Cross multiply
    806.32x = 1,112.77 × 452.27
  4. Step 4: Simplify right side
    806.32x = 503,272.49
  5. Step 5: Solve for x
    x = 503,272.49/806.32
  6. Step 6: Final answer
    x = 624.16

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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.