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Finding the Fourth Proportional to 1,229.24, 1,694.43 and 835.58

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Solution

The fourth proportional to 1,229.24, 1,694.43 and 835.58 is: 1,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.24 : 1,694.43 = 835.58 : x
  2. Step 2: Convert to fraction form
    1,229.24/1,694.43 = 835.58/x
  3. Step 3: Cross multiply
    1,229.24x = 1,694.43 × 835.58
  4. Step 4: Simplify right side
    1,229.24x = 1,415,831.82
  5. Step 5: Solve for x
    x = 1,415,831.82/1,229.24
  6. Step 6: Final answer
    x = 1,151.79

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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.