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Finding the Fourth Proportional to 806.67, 1,112.36 and 558.38

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Solution

The fourth proportional to 806.67, 1,112.36 and 558.38 is: 769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.67 : 1,112.36 = 558.38 : x
  2. Step 2: Convert to fraction form
    806.67/1,112.36 = 558.38/x
  3. Step 3: Cross multiply
    806.67x = 1,112.36 × 558.38
  4. Step 4: Simplify right side
    806.67x = 621,119.57
  5. Step 5: Solve for x
    x = 621,119.57/806.67
  6. Step 6: Final answer
    x = 769.98

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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.