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Finding the Fourth Proportional to 824.99, 1,138.56 and 493.59

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Solution

The fourth proportional to 824.99, 1,138.56 and 493.59 is: 681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.99 : 1,138.56 = 493.59 : x
  2. Step 2: Convert to fraction form
    824.99/1,138.56 = 493.59/x
  3. Step 3: Cross multiply
    824.99x = 1,138.56 × 493.59
  4. Step 4: Simplify right side
    824.99x = 561,984.25
  5. Step 5: Solve for x
    x = 561,984.25/824.99
  6. Step 6: Final answer
    x = 681.21

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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.