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Finding the Fourth Proportional to 1,083.91, 1,626.22 and 343.64

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Solution

The fourth proportional to 1,083.91, 1,626.22 and 343.64 is: 515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.91 : 1,626.22 = 343.64 : x
  2. Step 2: Convert to fraction form
    1,083.91/1,626.22 = 343.64/x
  3. Step 3: Cross multiply
    1,083.91x = 1,626.22 × 343.64
  4. Step 4: Simplify right side
    1,083.91x = 558,831.46
  5. Step 5: Solve for x
    x = 558,831.46/1,083.91
  6. Step 6: Final answer
    x = 515.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.