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Finding the Fourth Proportional to 824.79, 1,137.75 and 493.16

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Solution

The fourth proportional to 824.79, 1,137.75 and 493.16 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.79 : 1,137.75 = 493.16 : x
  2. Step 2: Convert to fraction form
    824.79/1,137.75 = 493.16/x
  3. Step 3: Cross multiply
    824.79x = 1,137.75 × 493.16
  4. Step 4: Simplify right side
    824.79x = 561,087.10
  5. Step 5: Solve for x
    x = 561,087.10/824.79
  6. Step 6: Final answer
    x = 680.28

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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.