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Finding the Fourth Proportional to 825.93, 1,238.29 and 591.23

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Solution

The fourth proportional to 825.93, 1,238.29 and 591.23 is: 886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.93 : 1,238.29 = 591.23 : x
  2. Step 2: Convert to fraction form
    825.93/1,238.29 = 591.23/x
  3. Step 3: Cross multiply
    825.93x = 1,238.29 × 591.23
  4. Step 4: Simplify right side
    825.93x = 732,115.81
  5. Step 5: Solve for x
    x = 732,115.81/825.93
  6. Step 6: Final answer
    x = 886.41

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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.