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Finding the Fourth Proportional to 967.02, 1,449.81 and 582.18

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Solution

The fourth proportional to 967.02, 1,449.81 and 582.18 is: 872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.02 : 1,449.81 = 582.18 : x
  2. Step 2: Convert to fraction form
    967.02/1,449.81 = 582.18/x
  3. Step 3: Cross multiply
    967.02x = 1,449.81 × 582.18
  4. Step 4: Simplify right side
    967.02x = 844,050.39
  5. Step 5: Solve for x
    x = 844,050.39/967.02
  6. Step 6: Final answer
    x = 872.84

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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.