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Finding the Fourth Proportional to 824.09, 1,235.72 and 385.23

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Solution

The fourth proportional to 824.09, 1,235.72 and 385.23 is: 577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.09 : 1,235.72 = 385.23 : x
  2. Step 2: Convert to fraction form
    824.09/1,235.72 = 385.23/x
  3. Step 3: Cross multiply
    824.09x = 1,235.72 × 385.23
  4. Step 4: Simplify right side
    824.09x = 476,034.49
  5. Step 5: Solve for x
    x = 476,034.49/824.09
  6. Step 6: Final answer
    x = 577.65

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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.