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Finding the Fourth Proportional to 1,062.12, 1,591.45 and 541.41

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Solution

The fourth proportional to 1,062.12, 1,591.45 and 541.41 is: 811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.12 : 1,591.45 = 541.41 : x
  2. Step 2: Convert to fraction form
    1,062.12/1,591.45 = 541.41/x
  3. Step 3: Cross multiply
    1,062.12x = 1,591.45 × 541.41
  4. Step 4: Simplify right side
    1,062.12x = 861,626.94
  5. Step 5: Solve for x
    x = 861,626.94/1,062.12
  6. Step 6: Final answer
    x = 811.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.