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Finding the Fourth Proportional to 801.13, 1,105.59 and 451.82

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Solution

The fourth proportional to 801.13, 1,105.59 and 451.82 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.13 : 1,105.59 = 451.82 : x
  2. Step 2: Convert to fraction form
    801.13/1,105.59 = 451.82/x
  3. Step 3: Cross multiply
    801.13x = 1,105.59 × 451.82
  4. Step 4: Simplify right side
    801.13x = 499,522.15
  5. Step 5: Solve for x
    x = 499,522.15/801.13
  6. Step 6: Final answer
    x = 623.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.