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Finding the Fourth Proportional to 1,092.66, 1,638.99 and 443.40

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Solution

The fourth proportional to 1,092.66, 1,638.99 and 443.40 is: 665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.66 : 1,638.99 = 443.40 : x
  2. Step 2: Convert to fraction form
    1,092.66/1,638.99 = 443.40/x
  3. Step 3: Cross multiply
    1,092.66x = 1,638.99 × 443.40
  4. Step 4: Simplify right side
    1,092.66x = 726,728.17
  5. Step 5: Solve for x
    x = 726,728.17/1,092.66
  6. Step 6: Final answer
    x = 665.10

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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.