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Finding the Fourth Proportional to 801.36, 1,202.44 and 436.16

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Solution

The fourth proportional to 801.36, 1,202.44 and 436.16 is: 654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.36 : 1,202.44 = 436.16 : x
  2. Step 2: Convert to fraction form
    801.36/1,202.44 = 436.16/x
  3. Step 3: Cross multiply
    801.36x = 1,202.44 × 436.16
  4. Step 4: Simplify right side
    801.36x = 524,456.23
  5. Step 5: Solve for x
    x = 524,456.23/801.36
  6. Step 6: Final answer
    x = 654.46

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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.