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Finding the Fourth Proportional to 1,161.14, 1,734.11 and 930.38

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Solution

The fourth proportional to 1,161.14, 1,734.11 and 930.38 is: 1,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.14 : 1,734.11 = 930.38 : x
  2. Step 2: Convert to fraction form
    1,161.14/1,734.11 = 930.38/x
  3. Step 3: Cross multiply
    1,161.14x = 1,734.11 × 930.38
  4. Step 4: Simplify right side
    1,161.14x = 1,613,381.26
  5. Step 5: Solve for x
    x = 1,613,381.26/1,161.14
  6. Step 6: Final answer
    x = 1,389.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.