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Finding the Fourth Proportional to 720.28, 1,080.95 and 258.07

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Solution

The fourth proportional to 720.28, 1,080.95 and 258.07 is: 387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.28 : 1,080.95 = 258.07 : x
  2. Step 2: Convert to fraction form
    720.28/1,080.95 = 258.07/x
  3. Step 3: Cross multiply
    720.28x = 1,080.95 × 258.07
  4. Step 4: Simplify right side
    720.28x = 278,960.77
  5. Step 5: Solve for x
    x = 278,960.77/720.28
  6. Step 6: Final answer
    x = 387.29

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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.