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Finding the Fourth Proportional to 943.25, 1,414.16 and 509.81

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Solution

The fourth proportional to 943.25, 1,414.16 and 509.81 is: 764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.25 : 1,414.16 = 509.81 : x
  2. Step 2: Convert to fraction form
    943.25/1,414.16 = 509.81/x
  3. Step 3: Cross multiply
    943.25x = 1,414.16 × 509.81
  4. Step 4: Simplify right side
    943.25x = 720,950.36
  5. Step 5: Solve for x
    x = 720,950.36/943.25
  6. Step 6: Final answer
    x = 764.33

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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.