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Finding the Fourth Proportional to 721.23, 1,080.97 and 309.50

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Solution

The fourth proportional to 721.23, 1,080.97 and 309.50 is: 463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.23 : 1,080.97 = 309.50 : x
  2. Step 2: Convert to fraction form
    721.23/1,080.97 = 309.50/x
  3. Step 3: Cross multiply
    721.23x = 1,080.97 × 309.50
  4. Step 4: Simplify right side
    721.23x = 334,560.22
  5. Step 5: Solve for x
    x = 334,560.22/721.23
  6. Step 6: Final answer
    x = 463.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.