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Finding the Fourth Proportional to 806.68, 1,112.59 and 541.03

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Solution

The fourth proportional to 806.68, 1,112.59 and 541.03 is: 746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.68 : 1,112.59 = 541.03 : x
  2. Step 2: Convert to fraction form
    806.68/1,112.59 = 541.03/x
  3. Step 3: Cross multiply
    806.68x = 1,112.59 × 541.03
  4. Step 4: Simplify right side
    806.68x = 601,944.57
  5. Step 5: Solve for x
    x = 601,944.57/806.68
  6. Step 6: Final answer
    x = 746.20

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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.