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Finding the Fourth Proportional to 1,339, 1,848.96 and 842.47

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Solution

The fourth proportional to 1,339, 1,848.96 and 842.47 is: 1,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339 : 1,848.96 = 842.47 : x
  2. Step 2: Convert to fraction form
    1,339/1,848.96 = 842.47/x
  3. Step 3: Cross multiply
    1,339x = 1,848.96 × 842.47
  4. Step 4: Simplify right side
    1,339x = 1,557,693.33
  5. Step 5: Solve for x
    x = 1,557,693.33/1,339
  6. Step 6: Final answer
    x = 1,163.33

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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.