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Finding the Fourth Proportional to 949.70, 1,309.57 and 824.29

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Solution

The fourth proportional to 949.70, 1,309.57 and 824.29 is: 1,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.70 : 1,309.57 = 824.29 : x
  2. Step 2: Convert to fraction form
    949.70/1,309.57 = 824.29/x
  3. Step 3: Cross multiply
    949.70x = 1,309.57 × 824.29
  4. Step 4: Simplify right side
    949.70x = 1,079,460.12
  5. Step 5: Solve for x
    x = 1,079,460.12/949.70
  6. Step 6: Final answer
    x = 1,136.63

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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.