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Finding the Fourth Proportional to 1,247.77, 1,871.66 and 323.27

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Solution

The fourth proportional to 1,247.77, 1,871.66 and 323.27 is: 484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.77 : 1,871.66 = 323.27 : x
  2. Step 2: Convert to fraction form
    1,247.77/1,871.66 = 323.27/x
  3. Step 3: Cross multiply
    1,247.77x = 1,871.66 × 323.27
  4. Step 4: Simplify right side
    1,247.77x = 605,042.98
  5. Step 5: Solve for x
    x = 605,042.98/1,247.77
  6. Step 6: Final answer
    x = 484.90

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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.