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Finding the Fourth Proportional to 720.86, 1,080.60 and 309.44

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Solution

The fourth proportional to 720.86, 1,080.60 and 309.44 is: 463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.86 : 1,080.60 = 309.44 : x
  2. Step 2: Convert to fraction form
    720.86/1,080.60 = 309.44/x
  3. Step 3: Cross multiply
    720.86x = 1,080.60 × 309.44
  4. Step 4: Simplify right side
    720.86x = 334,375.46
  5. Step 5: Solve for x
    x = 334,375.46/720.86
  6. Step 6: Final answer
    x = 463.86

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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.