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Finding the Fourth Proportional to 943.61, 1,302.12 and 523.98

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Solution

The fourth proportional to 943.61, 1,302.12 and 523.98 is: 723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.61 : 1,302.12 = 523.98 : x
  2. Step 2: Convert to fraction form
    943.61/1,302.12 = 523.98/x
  3. Step 3: Cross multiply
    943.61x = 1,302.12 × 523.98
  4. Step 4: Simplify right side
    943.61x = 682,284.84
  5. Step 5: Solve for x
    x = 682,284.84/943.61
  6. Step 6: Final answer
    x = 723.06

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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.