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Finding the Fourth Proportional to 1,389.03, 2,083.44 and 658.41

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Solution

The fourth proportional to 1,389.03, 2,083.44 and 658.41 is: 987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.03 : 2,083.44 = 658.41 : x
  2. Step 2: Convert to fraction form
    1,389.03/2,083.44 = 658.41/x
  3. Step 3: Cross multiply
    1,389.03x = 2,083.44 × 658.41
  4. Step 4: Simplify right side
    1,389.03x = 1,371,757.73
  5. Step 5: Solve for x
    x = 1,371,757.73/1,389.03
  6. Step 6: Final answer
    x = 987.57

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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.