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Finding the Fourth Proportional to 824.16, 1,236.24 and 412.88

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Solution

The fourth proportional to 824.16, 1,236.24 and 412.88 is: 619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.16 : 1,236.24 = 412.88 : x
  2. Step 2: Convert to fraction form
    824.16/1,236.24 = 412.88/x
  3. Step 3: Cross multiply
    824.16x = 1,236.24 × 412.88
  4. Step 4: Simplify right side
    824.16x = 510,418.77
  5. Step 5: Solve for x
    x = 510,418.77/824.16
  6. Step 6: Final answer
    x = 619.32

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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.