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Finding the Fourth Proportional to 1,161.78, 1,601.82 and 830.09

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Solution

The fourth proportional to 1,161.78, 1,601.82 and 830.09 is: 1,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.78 : 1,601.82 = 830.09 : x
  2. Step 2: Convert to fraction form
    1,161.78/1,601.82 = 830.09/x
  3. Step 3: Cross multiply
    1,161.78x = 1,601.82 × 830.09
  4. Step 4: Simplify right side
    1,161.78x = 1,329,646.75
  5. Step 5: Solve for x
    x = 1,329,646.75/1,161.78
  6. Step 6: Final answer
    x = 1,144.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.