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Finding the Fourth Proportional to 943.72, 1,301.67 and 589.82

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Solution

The fourth proportional to 943.72, 1,301.67 and 589.82 is: 813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.72 : 1,301.67 = 589.82 : x
  2. Step 2: Convert to fraction form
    943.72/1,301.67 = 589.82/x
  3. Step 3: Cross multiply
    943.72x = 1,301.67 × 589.82
  4. Step 4: Simplify right side
    943.72x = 767,744.49
  5. Step 5: Solve for x
    x = 767,744.49/943.72
  6. Step 6: Final answer
    x = 813.53

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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.