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Finding the Fourth Proportional to 824.74, 1,137.96 and 493.12

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Solution

The fourth proportional to 824.74, 1,137.96 and 493.12 is: 680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.74 : 1,137.96 = 493.12 : x
  2. Step 2: Convert to fraction form
    824.74/1,137.96 = 493.12/x
  3. Step 3: Cross multiply
    824.74x = 1,137.96 × 493.12
  4. Step 4: Simplify right side
    824.74x = 561,145.15
  5. Step 5: Solve for x
    x = 561,145.15/824.74
  6. Step 6: Final answer
    x = 680.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.