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Finding the Fourth Proportional to 824.81, 1,237.41 and 277.11

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Solution

The fourth proportional to 824.81, 1,237.41 and 277.11 is: 415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.81 : 1,237.41 = 277.11 : x
  2. Step 2: Convert to fraction form
    824.81/1,237.41 = 277.11/x
  3. Step 3: Cross multiply
    824.81x = 1,237.41 × 277.11
  4. Step 4: Simplify right side
    824.81x = 342,898.69
  5. Step 5: Solve for x
    x = 342,898.69/824.81
  6. Step 6: Final answer
    x = 415.73

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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.