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Finding the Fourth Proportional to 1,193.83, 1,790.11 and 731.82

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Solution

The fourth proportional to 1,193.83, 1,790.11 and 731.82 is: 1,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.83 : 1,790.11 = 731.82 : x
  2. Step 2: Convert to fraction form
    1,193.83/1,790.11 = 731.82/x
  3. Step 3: Cross multiply
    1,193.83x = 1,790.11 × 731.82
  4. Step 4: Simplify right side
    1,193.83x = 1,310,036.47
  5. Step 5: Solve for x
    x = 1,310,036.47/1,193.83
  6. Step 6: Final answer
    x = 1,097.34

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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.