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Finding the Fourth Proportional to 829.08, 1,143.72 and 534.78

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Solution

The fourth proportional to 829.08, 1,143.72 and 534.78 is: 737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.08 : 1,143.72 = 534.78 : x
  2. Step 2: Convert to fraction form
    829.08/1,143.72 = 534.78/x
  3. Step 3: Cross multiply
    829.08x = 1,143.72 × 534.78
  4. Step 4: Simplify right side
    829.08x = 611,638.58
  5. Step 5: Solve for x
    x = 611,638.58/829.08
  6. Step 6: Final answer
    x = 737.73

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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.