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Finding the Fourth Proportional to 1,161.30, 1,739.92 and 967.55

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Solution

The fourth proportional to 1,161.30, 1,739.92 and 967.55 is: 1,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.30 : 1,739.92 = 967.55 : x
  2. Step 2: Convert to fraction form
    1,161.30/1,739.92 = 967.55/x
  3. Step 3: Cross multiply
    1,161.30x = 1,739.92 × 967.55
  4. Step 4: Simplify right side
    1,161.30x = 1,683,450.90
  5. Step 5: Solve for x
    x = 1,683,450.90/1,161.30
  6. Step 6: Final answer
    x = 1,449.63

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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.