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Finding the Fourth Proportional to 1,161.64, 1,742.31 and 967.85

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Solution

The fourth proportional to 1,161.64, 1,742.31 and 967.85 is: 1,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.64 : 1,742.31 = 967.85 : x
  2. Step 2: Convert to fraction form
    1,161.64/1,742.31 = 967.85/x
  3. Step 3: Cross multiply
    1,161.64x = 1,742.31 × 967.85
  4. Step 4: Simplify right side
    1,161.64x = 1,686,292.56
  5. Step 5: Solve for x
    x = 1,686,292.56/1,161.64
  6. Step 6: Final answer
    x = 1,451.65

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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.