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Finding the Fourth Proportional to 829.02, 1,144.03 and 534.29

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Solution

The fourth proportional to 829.02, 1,144.03 and 534.29 is: 737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.02 : 1,144.03 = 534.29 : x
  2. Step 2: Convert to fraction form
    829.02/1,144.03 = 534.29/x
  3. Step 3: Cross multiply
    829.02x = 1,144.03 × 534.29
  4. Step 4: Simplify right side
    829.02x = 611,243.79
  5. Step 5: Solve for x
    x = 611,243.79/829.02
  6. Step 6: Final answer
    x = 737.31

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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.