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Finding the Fourth Proportional to 1,133.43, 1,696.85 and 842.23

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Solution

The fourth proportional to 1,133.43, 1,696.85 and 842.23 is: 1,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.43 : 1,696.85 = 842.23 : x
  2. Step 2: Convert to fraction form
    1,133.43/1,696.85 = 842.23/x
  3. Step 3: Cross multiply
    1,133.43x = 1,696.85 × 842.23
  4. Step 4: Simplify right side
    1,133.43x = 1,429,128.44
  5. Step 5: Solve for x
    x = 1,429,128.44/1,133.43
  6. Step 6: Final answer
    x = 1,260.88

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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.