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Finding the Fourth Proportional to 1,175.38, 1,771.90 and 1,096.11

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Solution

The fourth proportional to 1,175.38, 1,771.90 and 1,096.11 is: 1,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.38 : 1,771.90 = 1,096.11 : x
  2. Step 2: Convert to fraction form
    1,175.38/1,771.90 = 1,096.11/x
  3. Step 3: Cross multiply
    1,175.38x = 1,771.90 × 1,096.11
  4. Step 4: Simplify right side
    1,175.38x = 1,942,194.57
  5. Step 5: Solve for x
    x = 1,942,194.57/1,175.38
  6. Step 6: Final answer
    x = 1,652.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.