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Finding the Fourth Proportional to 1,207.16, 1,677.07 and 1,195.32

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Solution

The fourth proportional to 1,207.16, 1,677.07 and 1,195.32 is: 1,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.16 : 1,677.07 = 1,195.32 : x
  2. Step 2: Convert to fraction form
    1,207.16/1,677.07 = 1,195.32/x
  3. Step 3: Cross multiply
    1,207.16x = 1,677.07 × 1,195.32
  4. Step 4: Simplify right side
    1,207.16x = 2,004,635.31
  5. Step 5: Solve for x
    x = 2,004,635.31/1,207.16
  6. Step 6: Final answer
    x = 1,660.62

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.