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Finding the Fourth Proportional to 943.59, 1,414.39 and 455.61

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Solution

The fourth proportional to 943.59, 1,414.39 and 455.61 is: 682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.59 : 1,414.39 = 455.61 : x
  2. Step 2: Convert to fraction form
    943.59/1,414.39 = 455.61/x
  3. Step 3: Cross multiply
    943.59x = 1,414.39 × 455.61
  4. Step 4: Simplify right side
    943.59x = 644,410.23
  5. Step 5: Solve for x
    x = 644,410.23/943.59
  6. Step 6: Final answer
    x = 682.93

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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.