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Finding the Fourth Proportional to 829.49, 1,144.53 and 534.74

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Solution

The fourth proportional to 829.49, 1,144.53 and 534.74 is: 737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.49 : 1,144.53 = 534.74 : x
  2. Step 2: Convert to fraction form
    829.49/1,144.53 = 534.74/x
  3. Step 3: Cross multiply
    829.49x = 1,144.53 × 534.74
  4. Step 4: Simplify right side
    829.49x = 612,020.25
  5. Step 5: Solve for x
    x = 612,020.25/829.49
  6. Step 6: Final answer
    x = 737.83

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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.