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Finding the Fourth Proportional to 1,263.27, 1,896.27 and 958.47

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Solution

The fourth proportional to 1,263.27, 1,896.27 and 958.47 is: 1,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.27 : 1,896.27 = 958.47 : x
  2. Step 2: Convert to fraction form
    1,263.27/1,896.27 = 958.47/x
  3. Step 3: Cross multiply
    1,263.27x = 1,896.27 × 958.47
  4. Step 4: Simplify right side
    1,263.27x = 1,817,517.91
  5. Step 5: Solve for x
    x = 1,817,517.91/1,263.27
  6. Step 6: Final answer
    x = 1,438.74

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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.