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Finding the Fourth Proportional to 1,178.43, 1,626.25 and 736.59

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Solution

The fourth proportional to 1,178.43, 1,626.25 and 736.59 is: 1,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.43 : 1,626.25 = 736.59 : x
  2. Step 2: Convert to fraction form
    1,178.43/1,626.25 = 736.59/x
  3. Step 3: Cross multiply
    1,178.43x = 1,626.25 × 736.59
  4. Step 4: Simplify right side
    1,178.43x = 1,197,879.49
  5. Step 5: Solve for x
    x = 1,197,879.49/1,178.43
  6. Step 6: Final answer
    x = 1,016.50

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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.