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Finding the Fourth Proportional to 1,197.20, 1,795.73 and 713.31

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Solution

The fourth proportional to 1,197.20, 1,795.73 and 713.31 is: 1,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.20 : 1,795.73 = 713.31 : x
  2. Step 2: Convert to fraction form
    1,197.20/1,795.73 = 713.31/x
  3. Step 3: Cross multiply
    1,197.20x = 1,795.73 × 713.31
  4. Step 4: Simplify right side
    1,197.20x = 1,280,908.60
  5. Step 5: Solve for x
    x = 1,280,908.60/1,197.20
  6. Step 6: Final answer
    x = 1,069.92

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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.