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Finding the Fourth Proportional to 1,092.81, 1,638.60 and 389.67

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Solution

The fourth proportional to 1,092.81, 1,638.60 and 389.67 is: 584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.81 : 1,638.60 = 389.67 : x
  2. Step 2: Convert to fraction form
    1,092.81/1,638.60 = 389.67/x
  3. Step 3: Cross multiply
    1,092.81x = 1,638.60 × 389.67
  4. Step 4: Simplify right side
    1,092.81x = 638,513.26
  5. Step 5: Solve for x
    x = 638,513.26/1,092.81
  6. Step 6: Final answer
    x = 584.29

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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.