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Finding the Fourth Proportional to 824.22, 1,235.52 and 391.14

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Solution

The fourth proportional to 824.22, 1,235.52 and 391.14 is: 586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.22 : 1,235.52 = 391.14 : x
  2. Step 2: Convert to fraction form
    824.22/1,235.52 = 391.14/x
  3. Step 3: Cross multiply
    824.22x = 1,235.52 × 391.14
  4. Step 4: Simplify right side
    824.22x = 483,261.29
  5. Step 5: Solve for x
    x = 483,261.29/824.22
  6. Step 6: Final answer
    x = 586.33

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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.