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Finding the Fourth Proportional to 1,186.24, 1,636.81 and 662.29

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Solution

The fourth proportional to 1,186.24, 1,636.81 and 662.29 is: 913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.24 : 1,636.81 = 662.29 : x
  2. Step 2: Convert to fraction form
    1,186.24/1,636.81 = 662.29/x
  3. Step 3: Cross multiply
    1,186.24x = 1,636.81 × 662.29
  4. Step 4: Simplify right side
    1,186.24x = 1,084,042.89
  5. Step 5: Solve for x
    x = 1,084,042.89/1,186.24
  6. Step 6: Final answer
    x = 913.85

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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.