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Finding the Fourth Proportional to 1,103.46, 1,523.49 and 684.26

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Solution

The fourth proportional to 1,103.46, 1,523.49 and 684.26 is: 944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.46 : 1,523.49 = 684.26 : x
  2. Step 2: Convert to fraction form
    1,103.46/1,523.49 = 684.26/x
  3. Step 3: Cross multiply
    1,103.46x = 1,523.49 × 684.26
  4. Step 4: Simplify right side
    1,103.46x = 1,042,458.80
  5. Step 5: Solve for x
    x = 1,042,458.80/1,103.46
  6. Step 6: Final answer
    x = 944.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.