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Finding the Fourth Proportional to 1,169.07, 1,745.17 and 994.57

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Solution

The fourth proportional to 1,169.07, 1,745.17 and 994.57 is: 1,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.07 : 1,745.17 = 994.57 : x
  2. Step 2: Convert to fraction form
    1,169.07/1,745.17 = 994.57/x
  3. Step 3: Cross multiply
    1,169.07x = 1,745.17 × 994.57
  4. Step 4: Simplify right side
    1,169.07x = 1,735,693.73
  5. Step 5: Solve for x
    x = 1,735,693.73/1,169.07
  6. Step 6: Final answer
    x = 1,484.68

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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.