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Finding the Fourth Proportional to 943.88, 1,414.62 and 456.68

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Solution

The fourth proportional to 943.88, 1,414.62 and 456.68 is: 684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.88 : 1,414.62 = 456.68 : x
  2. Step 2: Convert to fraction form
    943.88/1,414.62 = 456.68/x
  3. Step 3: Cross multiply
    943.88x = 1,414.62 × 456.68
  4. Step 4: Simplify right side
    943.88x = 646,028.66
  5. Step 5: Solve for x
    x = 646,028.66/943.88
  6. Step 6: Final answer
    x = 684.44

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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.