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Finding the Fourth Proportional to 1,161.63, 1,742.21 and 967.88

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Solution

The fourth proportional to 1,161.63, 1,742.21 and 967.88 is: 1,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.63 : 1,742.21 = 967.88 : x
  2. Step 2: Convert to fraction form
    1,161.63/1,742.21 = 967.88/x
  3. Step 3: Cross multiply
    1,161.63x = 1,742.21 × 967.88
  4. Step 4: Simplify right side
    1,161.63x = 1,686,245.38
  5. Step 5: Solve for x
    x = 1,686,245.38/1,161.63
  6. Step 6: Final answer
    x = 1,451.62

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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.