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Finding the Fourth Proportional to 824.94, 1,138.01 and 493.17

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Solution

The fourth proportional to 824.94, 1,138.01 and 493.17 is: 680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.94 : 1,138.01 = 493.17 : x
  2. Step 2: Convert to fraction form
    824.94/1,138.01 = 493.17/x
  3. Step 3: Cross multiply
    824.94x = 1,138.01 × 493.17
  4. Step 4: Simplify right side
    824.94x = 561,229.93
  5. Step 5: Solve for x
    x = 561,229.93/824.94
  6. Step 6: Final answer
    x = 680.33

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