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Finding the Fourth Proportional to 824.93, 1,237.49 and 269.45

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Solution

The fourth proportional to 824.93, 1,237.49 and 269.45 is: 404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.93 : 1,237.49 = 269.45 : x
  2. Step 2: Convert to fraction form
    824.93/1,237.49 = 269.45/x
  3. Step 3: Cross multiply
    824.93x = 1,237.49 × 269.45
  4. Step 4: Simplify right side
    824.93x = 333,435.49
  5. Step 5: Solve for x
    x = 333,435.49/824.93
  6. Step 6: Final answer
    x = 404.20

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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.