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Finding the Fourth Proportional to 801.11, 1,203.03 and 494.77

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Solution

The fourth proportional to 801.11, 1,203.03 and 494.77 is: 743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.11 : 1,203.03 = 494.77 : x
  2. Step 2: Convert to fraction form
    801.11/1,203.03 = 494.77/x
  3. Step 3: Cross multiply
    801.11x = 1,203.03 × 494.77
  4. Step 4: Simplify right side
    801.11x = 595,220.15
  5. Step 5: Solve for x
    x = 595,220.15/801.11
  6. Step 6: Final answer
    x = 743.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.