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Finding the Fourth Proportional to 1,091.98, 1,638.45 and 799.76

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Solution

The fourth proportional to 1,091.98, 1,638.45 and 799.76 is: 1,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.98 : 1,638.45 = 799.76 : x
  2. Step 2: Convert to fraction form
    1,091.98/1,638.45 = 799.76/x
  3. Step 3: Cross multiply
    1,091.98x = 1,638.45 × 799.76
  4. Step 4: Simplify right side
    1,091.98x = 1,310,366.77
  5. Step 5: Solve for x
    x = 1,310,366.77/1,091.98
  6. Step 6: Final answer
    x = 1,199.99

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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.