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Finding the Fourth Proportional to 1,448.91, 1,998.14 and 951.98

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Solution

The fourth proportional to 1,448.91, 1,998.14 and 951.98 is: 1,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.91 : 1,998.14 = 951.98 : x
  2. Step 2: Convert to fraction form
    1,448.91/1,998.14 = 951.98/x
  3. Step 3: Cross multiply
    1,448.91x = 1,998.14 × 951.98
  4. Step 4: Simplify right side
    1,448.91x = 1,902,174.57
  5. Step 5: Solve for x
    x = 1,902,174.57/1,448.91
  6. Step 6: Final answer
    x = 1,312.83

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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.