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Finding the Fourth Proportional to 801.77, 1,199.55 and 626.54

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Solution

The fourth proportional to 801.77, 1,199.55 and 626.54 is: 937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.77 : 1,199.55 = 626.54 : x
  2. Step 2: Convert to fraction form
    801.77/1,199.55 = 626.54/x
  3. Step 3: Cross multiply
    801.77x = 1,199.55 × 626.54
  4. Step 4: Simplify right side
    801.77x = 751,566.06
  5. Step 5: Solve for x
    x = 751,566.06/801.77
  6. Step 6: Final answer
    x = 937.38

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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.