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Finding the Fourth Proportional to 1,176.91, 1,635.03 and 1,166.20

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Solution

The fourth proportional to 1,176.91, 1,635.03 and 1,166.20 is: 1,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.91 : 1,635.03 = 1,166.20 : x
  2. Step 2: Convert to fraction form
    1,176.91/1,635.03 = 1,166.20/x
  3. Step 3: Cross multiply
    1,176.91x = 1,635.03 × 1,166.20
  4. Step 4: Simplify right side
    1,176.91x = 1,906,767.90
  5. Step 5: Solve for x
    x = 1,906,767.90/1,176.91
  6. Step 6: Final answer
    x = 1,620.15

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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.