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Finding the Fourth Proportional to 1,163.19, 1,605.30 and 721.01

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Solution

The fourth proportional to 1,163.19, 1,605.30 and 721.01 is: 995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.19 : 1,605.30 = 721.01 : x
  2. Step 2: Convert to fraction form
    1,163.19/1,605.30 = 721.01/x
  3. Step 3: Cross multiply
    1,163.19x = 1,605.30 × 721.01
  4. Step 4: Simplify right side
    1,163.19x = 1,157,429.33
  5. Step 5: Solve for x
    x = 1,157,429.33/1,163.19
  6. Step 6: Final answer
    x = 995.05

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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.