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Finding the Fourth Proportional to 1,193.13, 1,646.66 and 720.97

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Solution

The fourth proportional to 1,193.13, 1,646.66 and 720.97 is: 995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.13 : 1,646.66 = 720.97 : x
  2. Step 2: Convert to fraction form
    1,193.13/1,646.66 = 720.97/x
  3. Step 3: Cross multiply
    1,193.13x = 1,646.66 × 720.97
  4. Step 4: Simplify right side
    1,193.13x = 1,187,190.15
  5. Step 5: Solve for x
    x = 1,187,190.15/1,193.13
  6. Step 6: Final answer
    x = 995.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.