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Finding the Fourth Proportional to 1,389.76, 2,083.09 and 842.31

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Solution

The fourth proportional to 1,389.76, 2,083.09 and 842.31 is: 1,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.76 : 2,083.09 = 842.31 : x
  2. Step 2: Convert to fraction form
    1,389.76/2,083.09 = 842.31/x
  3. Step 3: Cross multiply
    1,389.76x = 2,083.09 × 842.31
  4. Step 4: Simplify right side
    1,389.76x = 1,754,610.64
  5. Step 5: Solve for x
    x = 1,754,610.64/1,389.76
  6. Step 6: Final answer
    x = 1,262.53

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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.