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Finding the Fourth Proportional to 1,166.72, 1,741.49 and 1,069.31

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Solution

The fourth proportional to 1,166.72, 1,741.49 and 1,069.31 is: 1,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.72 : 1,741.49 = 1,069.31 : x
  2. Step 2: Convert to fraction form
    1,166.72/1,741.49 = 1,069.31/x
  3. Step 3: Cross multiply
    1,166.72x = 1,741.49 × 1,069.31
  4. Step 4: Simplify right side
    1,166.72x = 1,862,178.62
  5. Step 5: Solve for x
    x = 1,862,178.62/1,166.72
  6. Step 6: Final answer
    x = 1,596.09

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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.