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Finding the Fourth Proportional to 950.18, 1,310.37 and 729.14

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Solution

The fourth proportional to 950.18, 1,310.37 and 729.14 is: 1,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.18 : 1,310.37 = 729.14 : x
  2. Step 2: Convert to fraction form
    950.18/1,310.37 = 729.14/x
  3. Step 3: Cross multiply
    950.18x = 1,310.37 × 729.14
  4. Step 4: Simplify right side
    950.18x = 955,443.18
  5. Step 5: Solve for x
    x = 955,443.18/950.18
  6. Step 6: Final answer
    x = 1,005.54

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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.