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Finding the Fourth Proportional to 1,474.40, 2,034.37 and 844.88

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Solution

The fourth proportional to 1,474.40, 2,034.37 and 844.88 is: 1,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.40 : 2,034.37 = 844.88 : x
  2. Step 2: Convert to fraction form
    1,474.40/2,034.37 = 844.88/x
  3. Step 3: Cross multiply
    1,474.40x = 2,034.37 × 844.88
  4. Step 4: Simplify right side
    1,474.40x = 1,718,796.10
  5. Step 5: Solve for x
    x = 1,718,796.10/1,474.40
  6. Step 6: Final answer
    x = 1,165.76

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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.