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Finding the Fourth Proportional to 1,178.14, 1,626.86 and 736.79

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Solution

The fourth proportional to 1,178.14, 1,626.86 and 736.79 is: 1,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.14 : 1,626.86 = 736.79 : x
  2. Step 2: Convert to fraction form
    1,178.14/1,626.86 = 736.79/x
  3. Step 3: Cross multiply
    1,178.14x = 1,626.86 × 736.79
  4. Step 4: Simplify right side
    1,178.14x = 1,198,654.18
  5. Step 5: Solve for x
    x = 1,198,654.18/1,178.14
  6. Step 6: Final answer
    x = 1,017.41

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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.