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Finding the Fourth Proportional to 720.07, 1,080.59 and 395.67

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Solution

The fourth proportional to 720.07, 1,080.59 and 395.67 is: 593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.07 : 1,080.59 = 395.67 : x
  2. Step 2: Convert to fraction form
    720.07/1,080.59 = 395.67/x
  3. Step 3: Cross multiply
    720.07x = 1,080.59 × 395.67
  4. Step 4: Simplify right side
    720.07x = 427,557.05
  5. Step 5: Solve for x
    x = 427,557.05/720.07
  6. Step 6: Final answer
    x = 593.77

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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.