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Finding the Fourth Proportional to 1,178.56, 1,626.71 and 681.49

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Solution

The fourth proportional to 1,178.56, 1,626.71 and 681.49 is: 940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.56 : 1,626.71 = 681.49 : x
  2. Step 2: Convert to fraction form
    1,178.56/1,626.71 = 681.49/x
  3. Step 3: Cross multiply
    1,178.56x = 1,626.71 × 681.49
  4. Step 4: Simplify right side
    1,178.56x = 1,108,586.60
  5. Step 5: Solve for x
    x = 1,108,586.60/1,178.56
  6. Step 6: Final answer
    x = 940.63

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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.