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Finding the Fourth Proportional to 806.26, 1,112.61 and 456.88

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Solution

The fourth proportional to 806.26, 1,112.61 and 456.88 is: 630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.26 : 1,112.61 = 456.88 : x
  2. Step 2: Convert to fraction form
    806.26/1,112.61 = 456.88/x
  3. Step 3: Cross multiply
    806.26x = 1,112.61 × 456.88
  4. Step 4: Simplify right side
    806.26x = 508,329.26
  5. Step 5: Solve for x
    x = 508,329.26/806.26
  6. Step 6: Final answer
    x = 630.48

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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.