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Finding the Fourth Proportional to 801.92, 1,203.00 and 281.98

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Solution

The fourth proportional to 801.92, 1,203.00 and 281.98 is: 423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.92 : 1,203.00 = 281.98 : x
  2. Step 2: Convert to fraction form
    801.92/1,203.00 = 281.98/x
  3. Step 3: Cross multiply
    801.92x = 1,203.00 × 281.98
  4. Step 4: Simplify right side
    801.92x = 339,220.53
  5. Step 5: Solve for x
    x = 339,220.53/801.92
  6. Step 6: Final answer
    x = 423.01

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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.