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Finding the Fourth Proportional to 943.47, 1,414.08 and 668.07

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Solution

The fourth proportional to 943.47, 1,414.08 and 668.07 is: 1,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.47 : 1,414.08 = 668.07 : x
  2. Step 2: Convert to fraction form
    943.47/1,414.08 = 668.07/x
  3. Step 3: Cross multiply
    943.47x = 1,414.08 × 668.07
  4. Step 4: Simplify right side
    943.47x = 944,704.43
  5. Step 5: Solve for x
    x = 944,704.43/943.47
  6. Step 6: Final answer
    x = 1,001.31

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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.