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Finding the Fourth Proportional to 956.23, 1,433.11 and 826.22

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Solution

The fourth proportional to 956.23, 1,433.11 and 826.22 is: 1,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.23 : 1,433.11 = 826.22 : x
  2. Step 2: Convert to fraction form
    956.23/1,433.11 = 826.22/x
  3. Step 3: Cross multiply
    956.23x = 1,433.11 × 826.22
  4. Step 4: Simplify right side
    956.23x = 1,184,064.14
  5. Step 5: Solve for x
    x = 1,184,064.14/956.23
  6. Step 6: Final answer
    x = 1,238.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.