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Finding the Fourth Proportional to 943.42, 1,301.97 and 594.22

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Solution

The fourth proportional to 943.42, 1,301.97 and 594.22 is: 820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.42 : 1,301.97 = 594.22 : x
  2. Step 2: Convert to fraction form
    943.42/1,301.97 = 594.22/x
  3. Step 3: Cross multiply
    943.42x = 1,301.97 × 594.22
  4. Step 4: Simplify right side
    943.42x = 773,656.61
  5. Step 5: Solve for x
    x = 773,656.61/943.42
  6. Step 6: Final answer
    x = 820.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.