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Finding the Fourth Proportional to 824.93, 1,138.29 and 493.50

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Solution

The fourth proportional to 824.93, 1,138.29 and 493.50 is: 680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.93 : 1,138.29 = 493.50 : x
  2. Step 2: Convert to fraction form
    824.93/1,138.29 = 493.50/x
  3. Step 3: Cross multiply
    824.93x = 1,138.29 × 493.50
  4. Step 4: Simplify right side
    824.93x = 561,748.53
  5. Step 5: Solve for x
    x = 561,748.53/824.93
  6. Step 6: Final answer
    x = 680.97

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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.