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Finding the Fourth Proportional to 943.73, 1,302.32 and 524.09

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Solution

The fourth proportional to 943.73, 1,302.32 and 524.09 is: 723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.73 : 1,302.32 = 524.09 : x
  2. Step 2: Convert to fraction form
    943.73/1,302.32 = 524.09/x
  3. Step 3: Cross multiply
    943.73x = 1,302.32 × 524.09
  4. Step 4: Simplify right side
    943.73x = 682,526.38
  5. Step 5: Solve for x
    x = 682,526.38/943.73
  6. Step 6: Final answer
    x = 723.22

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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.