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Finding the Fourth Proportional to 1,091.96, 1,638.16 and 442.76

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Solution

The fourth proportional to 1,091.96, 1,638.16 and 442.76 is: 664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.96 : 1,638.16 = 442.76 : x
  2. Step 2: Convert to fraction form
    1,091.96/1,638.16 = 442.76/x
  3. Step 3: Cross multiply
    1,091.96x = 1,638.16 × 442.76
  4. Step 4: Simplify right side
    1,091.96x = 725,311.72
  5. Step 5: Solve for x
    x = 725,311.72/1,091.96
  6. Step 6: Final answer
    x = 664.23

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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.