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Finding the Fourth Proportional to 1,129.36, 1,558.71 and 681.59

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Solution

The fourth proportional to 1,129.36, 1,558.71 and 681.59 is: 940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.36 : 1,558.71 = 681.59 : x
  2. Step 2: Convert to fraction form
    1,129.36/1,558.71 = 681.59/x
  3. Step 3: Cross multiply
    1,129.36x = 1,558.71 × 681.59
  4. Step 4: Simplify right side
    1,129.36x = 1,062,401.15
  5. Step 5: Solve for x
    x = 1,062,401.15/1,129.36
  6. Step 6: Final answer
    x = 940.71

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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.