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Finding the Fourth Proportional to 943.02, 1,414.73 and 394.92

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Solution

The fourth proportional to 943.02, 1,414.73 and 394.92 is: 592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.02 : 1,414.73 = 394.92 : x
  2. Step 2: Convert to fraction form
    943.02/1,414.73 = 394.92/x
  3. Step 3: Cross multiply
    943.02x = 1,414.73 × 394.92
  4. Step 4: Simplify right side
    943.02x = 558,698.10
  5. Step 5: Solve for x
    x = 558,698.10/943.02
  6. Step 6: Final answer
    x = 592.46

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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.