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Finding the Fourth Proportional to 1,101.41, 1,648.56 and 842.39

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Solution

The fourth proportional to 1,101.41, 1,648.56 and 842.39 is: 1,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.41 : 1,648.56 = 842.39 : x
  2. Step 2: Convert to fraction form
    1,101.41/1,648.56 = 842.39/x
  3. Step 3: Cross multiply
    1,101.41x = 1,648.56 × 842.39
  4. Step 4: Simplify right side
    1,101.41x = 1,388,730.46
  5. Step 5: Solve for x
    x = 1,388,730.46/1,101.41
  6. Step 6: Final answer
    x = 1,260.87

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