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Finding the Fourth Proportional to 1,197.90, 1,795.25 and 580.37

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Solution

The fourth proportional to 1,197.90, 1,795.25 and 580.37 is: 869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.90 : 1,795.25 = 580.37 : x
  2. Step 2: Convert to fraction form
    1,197.90/1,795.25 = 580.37/x
  3. Step 3: Cross multiply
    1,197.90x = 1,795.25 × 580.37
  4. Step 4: Simplify right side
    1,197.90x = 1,041,906.34
  5. Step 5: Solve for x
    x = 1,041,906.34/1,197.90
  6. Step 6: Final answer
    x = 869.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.