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Finding the Fourth Proportional to 824.33, 1,138.45 and 559.95

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Solution

The fourth proportional to 824.33, 1,138.45 and 559.95 is: 773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.33 : 1,138.45 = 559.95 : x
  2. Step 2: Convert to fraction form
    824.33/1,138.45 = 559.95/x
  3. Step 3: Cross multiply
    824.33x = 1,138.45 × 559.95
  4. Step 4: Simplify right side
    824.33x = 637,468.88
  5. Step 5: Solve for x
    x = 637,468.88/824.33
  6. Step 6: Final answer
    x = 773.32

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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.