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Finding the Fourth Proportional to 1,541.63, 2,311.00 and 567

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Solution

The fourth proportional to 1,541.63, 2,311.00 and 567 is: 849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.63 : 2,311.00 = 567 : x
  2. Step 2: Convert to fraction form
    1,541.63/2,311.00 = 567/x
  3. Step 3: Cross multiply
    1,541.63x = 2,311.00 × 567
  4. Step 4: Simplify right side
    1,541.63x = 1,310,335.58
  5. Step 5: Solve for x
    x = 1,310,335.58/1,541.63
  6. Step 6: Final answer
    x = 849.97

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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.