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Finding the Fourth Proportional to 829.62, 1,144.98 and 480.42

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Solution

The fourth proportional to 829.62, 1,144.98 and 480.42 is: 663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.62 : 1,144.98 = 480.42 : x
  2. Step 2: Convert to fraction form
    829.62/1,144.98 = 480.42/x
  3. Step 3: Cross multiply
    829.62x = 1,144.98 × 480.42
  4. Step 4: Simplify right side
    829.62x = 550,071.29
  5. Step 5: Solve for x
    x = 550,071.29/829.62
  6. Step 6: Final answer
    x = 663.04

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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.