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Finding the Fourth Proportional to 801.12, 1,201.84 and 288.16

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Solution

The fourth proportional to 801.12, 1,201.84 and 288.16 is: 432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.12 : 1,201.84 = 288.16 : x
  2. Step 2: Convert to fraction form
    801.12/1,201.84 = 288.16/x
  3. Step 3: Cross multiply
    801.12x = 1,201.84 × 288.16
  4. Step 4: Simplify right side
    801.12x = 346,322.21
  5. Step 5: Solve for x
    x = 346,322.21/801.12
  6. Step 6: Final answer
    x = 432.30

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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.