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Finding the Fourth Proportional to 1,186.12, 1,636.80 and 662.14

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Solution

The fourth proportional to 1,186.12, 1,636.80 and 662.14 is: 913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.12 : 1,636.80 = 662.14 : x
  2. Step 2: Convert to fraction form
    1,186.12/1,636.80 = 662.14/x
  3. Step 3: Cross multiply
    1,186.12x = 1,636.80 × 662.14
  4. Step 4: Simplify right side
    1,186.12x = 1,083,790.75
  5. Step 5: Solve for x
    x = 1,083,790.75/1,186.12
  6. Step 6: Final answer
    x = 913.73

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Why These Related Problems?

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