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Finding the Fourth Proportional to 829.29, 1,144.47 and 493.20

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Solution

The fourth proportional to 829.29, 1,144.47 and 493.20 is: 680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.29 : 1,144.47 = 493.20 : x
  2. Step 2: Convert to fraction form
    829.29/1,144.47 = 493.20/x
  3. Step 3: Cross multiply
    829.29x = 1,144.47 × 493.20
  4. Step 4: Simplify right side
    829.29x = 564,452.60
  5. Step 5: Solve for x
    x = 564,452.60/829.29
  6. Step 6: Final answer
    x = 680.65

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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.