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Finding the Fourth Proportional to 1,148.44, 1,722.80 and 842.26

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Solution

The fourth proportional to 1,148.44, 1,722.80 and 842.26 is: 1,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.44 : 1,722.80 = 842.26 : x
  2. Step 2: Convert to fraction form
    1,148.44/1,722.80 = 842.26/x
  3. Step 3: Cross multiply
    1,148.44x = 1,722.80 × 842.26
  4. Step 4: Simplify right side
    1,148.44x = 1,451,032.70
  5. Step 5: Solve for x
    x = 1,451,032.70/1,148.44
  6. Step 6: Final answer
    x = 1,263.49

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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.