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Finding the Fourth Proportional to 1,243.46, 1,864.28 and 626.88

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Solution

The fourth proportional to 1,243.46, 1,864.28 and 626.88 is: 939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.46 : 1,864.28 = 626.88 : x
  2. Step 2: Convert to fraction form
    1,243.46/1,864.28 = 626.88/x
  3. Step 3: Cross multiply
    1,243.46x = 1,864.28 × 626.88
  4. Step 4: Simplify right side
    1,243.46x = 1,168,679.85
  5. Step 5: Solve for x
    x = 1,168,679.85/1,243.46
  6. Step 6: Final answer
    x = 939.86

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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.