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Finding the Fourth Proportional to 1,166.23, 1,745.72 and 872

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Solution

The fourth proportional to 1,166.23, 1,745.72 and 872 is: 1,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.23 : 1,745.72 = 872 : x
  2. Step 2: Convert to fraction form
    1,166.23/1,745.72 = 872/x
  3. Step 3: Cross multiply
    1,166.23x = 1,745.72 × 872
  4. Step 4: Simplify right side
    1,166.23x = 1,522,267.84
  5. Step 5: Solve for x
    x = 1,522,267.84/1,166.23
  6. Step 6: Final answer
    x = 1,305.29

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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.