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Finding the Fourth Proportional to 803.95, 1,200.11 and 743.83

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Solution

The fourth proportional to 803.95, 1,200.11 and 743.83 is: 1,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.95 : 1,200.11 = 743.83 : x
  2. Step 2: Convert to fraction form
    803.95/1,200.11 = 743.83/x
  3. Step 3: Cross multiply
    803.95x = 1,200.11 × 743.83
  4. Step 4: Simplify right side
    803.95x = 892,677.82
  5. Step 5: Solve for x
    x = 892,677.82/803.95
  6. Step 6: Final answer
    x = 1,110.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.