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Finding the Fourth Proportional to 829.50, 1,144.68 and 456.48

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Solution

The fourth proportional to 829.50, 1,144.68 and 456.48 is: 629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.50 : 1,144.68 = 456.48 : x
  2. Step 2: Convert to fraction form
    829.50/1,144.68 = 456.48/x
  3. Step 3: Cross multiply
    829.50x = 1,144.68 × 456.48
  4. Step 4: Simplify right side
    829.50x = 522,523.53
  5. Step 5: Solve for x
    x = 522,523.53/829.50
  6. Step 6: Final answer
    x = 629.93

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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.