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Finding the Fourth Proportional to 1,121.86, 1,682.58 and 758.98

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Solution

The fourth proportional to 1,121.86, 1,682.58 and 758.98 is: 1,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.86 : 1,682.58 = 758.98 : x
  2. Step 2: Convert to fraction form
    1,121.86/1,682.58 = 758.98/x
  3. Step 3: Cross multiply
    1,121.86x = 1,682.58 × 758.98
  4. Step 4: Simplify right side
    1,121.86x = 1,277,044.57
  5. Step 5: Solve for x
    x = 1,277,044.57/1,121.86
  6. Step 6: Final answer
    x = 1,138.33

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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.