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Finding the Fourth Proportional to 1,328.30, 1,982.07 and 1,189.94

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Solution

The fourth proportional to 1,328.30, 1,982.07 and 1,189.94 is: 1,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.30 : 1,982.07 = 1,189.94 : x
  2. Step 2: Convert to fraction form
    1,328.30/1,982.07 = 1,189.94/x
  3. Step 3: Cross multiply
    1,328.30x = 1,982.07 × 1,189.94
  4. Step 4: Simplify right side
    1,328.30x = 2,358,545.61
  5. Step 5: Solve for x
    x = 2,358,545.61/1,328.30
  6. Step 6: Final answer
    x = 1,775.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.