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Finding the Fourth Proportional to 1,197.71, 1,796.73 and 375.83

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Solution

The fourth proportional to 1,197.71, 1,796.73 and 375.83 is: 563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.71 : 1,796.73 = 375.83 : x
  2. Step 2: Convert to fraction form
    1,197.71/1,796.73 = 375.83/x
  3. Step 3: Cross multiply
    1,197.71x = 1,796.73 × 375.83
  4. Step 4: Simplify right side
    1,197.71x = 675,265.04
  5. Step 5: Solve for x
    x = 675,265.04/1,197.71
  6. Step 6: Final answer
    x = 563.80

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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.