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Finding the Fourth Proportional to 824.99, 1,237.64 and 277.20

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Solution

The fourth proportional to 824.99, 1,237.64 and 277.20 is: 415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.99 : 1,237.64 = 277.20 : x
  2. Step 2: Convert to fraction form
    824.99/1,237.64 = 277.20/x
  3. Step 3: Cross multiply
    824.99x = 1,237.64 × 277.20
  4. Step 4: Simplify right side
    824.99x = 343,072.42
  5. Step 5: Solve for x
    x = 343,072.42/824.99
  6. Step 6: Final answer
    x = 415.85

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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.