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Finding the Fourth Proportional to 967.35, 1,449.81 and 534

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Solution

The fourth proportional to 967.35, 1,449.81 and 534 is: 800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.35 : 1,449.81 = 534 : x
  2. Step 2: Convert to fraction form
    967.35/1,449.81 = 534/x
  3. Step 3: Cross multiply
    967.35x = 1,449.81 × 534
  4. Step 4: Simplify right side
    967.35x = 774,198.54
  5. Step 5: Solve for x
    x = 774,198.54/967.35
  6. Step 6: Final answer
    x = 800.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.