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Finding the Fourth Proportional to 829.34, 1,144.27 and 534.99

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Solution

The fourth proportional to 829.34, 1,144.27 and 534.99 is: 738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.34 : 1,144.27 = 534.99 : x
  2. Step 2: Convert to fraction form
    829.34/1,144.27 = 534.99/x
  3. Step 3: Cross multiply
    829.34x = 1,144.27 × 534.99
  4. Step 4: Simplify right side
    829.34x = 612,173.01
  5. Step 5: Solve for x
    x = 612,173.01/829.34
  6. Step 6: Final answer
    x = 738.14

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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.