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Finding the Fourth Proportional to 825.66, 1,238.49 and 500.38

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Solution

The fourth proportional to 825.66, 1,238.49 and 500.38 is: 750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.66 : 1,238.49 = 500.38 : x
  2. Step 2: Convert to fraction form
    825.66/1,238.49 = 500.38/x
  3. Step 3: Cross multiply
    825.66x = 1,238.49 × 500.38
  4. Step 4: Simplify right side
    825.66x = 619,712.53
  5. Step 5: Solve for x
    x = 619,712.53/825.66
  6. Step 6: Final answer
    x = 750.57

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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.