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Finding the Fourth Proportional to 1,193.77, 1,791.05 and 500.75

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Solution

The fourth proportional to 1,193.77, 1,791.05 and 500.75 is: 751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.77 : 1,791.05 = 500.75 : x
  2. Step 2: Convert to fraction form
    1,193.77/1,791.05 = 500.75/x
  3. Step 3: Cross multiply
    1,193.77x = 1,791.05 × 500.75
  4. Step 4: Simplify right side
    1,193.77x = 896,863.54
  5. Step 5: Solve for x
    x = 896,863.54/1,193.77
  6. Step 6: Final answer
    x = 751.29

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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.