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Finding the Fourth Proportional to 950.98, 1,310.30 and 729.24

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Solution

The fourth proportional to 950.98, 1,310.30 and 729.24 is: 1,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.98 : 1,310.30 = 729.24 : x
  2. Step 2: Convert to fraction form
    950.98/1,310.30 = 729.24/x
  3. Step 3: Cross multiply
    950.98x = 1,310.30 × 729.24
  4. Step 4: Simplify right side
    950.98x = 955,523.17
  5. Step 5: Solve for x
    x = 955,523.17/950.98
  6. Step 6: Final answer
    x = 1,004.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.