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Finding the Fourth Proportional to 720.28, 1,080.09 and 287.14

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Solution

The fourth proportional to 720.28, 1,080.09 and 287.14 is: 430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.28 : 1,080.09 = 287.14 : x
  2. Step 2: Convert to fraction form
    720.28/1,080.09 = 287.14/x
  3. Step 3: Cross multiply
    720.28x = 1,080.09 × 287.14
  4. Step 4: Simplify right side
    720.28x = 310,137.04
  5. Step 5: Solve for x
    x = 310,137.04/720.28
  6. Step 6: Final answer
    x = 430.58

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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.