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Finding the Fourth Proportional to 942.81, 1,301.12 and 523.20

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Solution

The fourth proportional to 942.81, 1,301.12 and 523.20 is: 722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.81 : 1,301.12 = 523.20 : x
  2. Step 2: Convert to fraction form
    942.81/1,301.12 = 523.20/x
  3. Step 3: Cross multiply
    942.81x = 1,301.12 × 523.20
  4. Step 4: Simplify right side
    942.81x = 680,745.98
  5. Step 5: Solve for x
    x = 680,745.98/942.81
  6. Step 6: Final answer
    x = 722.04

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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.