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Finding the Fourth Proportional to 1,161.46, 1,742.33 and 728.65

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Solution

The fourth proportional to 1,161.46, 1,742.33 and 728.65 is: 1,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.46 : 1,742.33 = 728.65 : x
  2. Step 2: Convert to fraction form
    1,161.46/1,742.33 = 728.65/x
  3. Step 3: Cross multiply
    1,161.46x = 1,742.33 × 728.65
  4. Step 4: Simplify right side
    1,161.46x = 1,269,548.75
  5. Step 5: Solve for x
    x = 1,269,548.75/1,161.46
  6. Step 6: Final answer
    x = 1,093.06

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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.