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Finding the Fourth Proportional to 801.12, 1,200.54 and 453.94

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Solution

The fourth proportional to 801.12, 1,200.54 and 453.94 is: 680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.12 : 1,200.54 = 453.94 : x
  2. Step 2: Convert to fraction form
    801.12/1,200.54 = 453.94/x
  3. Step 3: Cross multiply
    801.12x = 1,200.54 × 453.94
  4. Step 4: Simplify right side
    801.12x = 544,970.13
  5. Step 5: Solve for x
    x = 544,970.13/801.12
  6. Step 6: Final answer
    x = 680.26

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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.