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Finding the Fourth Proportional to 1,162.33, 1,604.61 and 720.49

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Solution

The fourth proportional to 1,162.33, 1,604.61 and 720.49 is: 994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.33 : 1,604.61 = 720.49 : x
  2. Step 2: Convert to fraction form
    1,162.33/1,604.61 = 720.49/x
  3. Step 3: Cross multiply
    1,162.33x = 1,604.61 × 720.49
  4. Step 4: Simplify right side
    1,162.33x = 1,156,105.46
  5. Step 5: Solve for x
    x = 1,156,105.46/1,162.33
  6. Step 6: Final answer
    x = 994.64

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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.