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Finding the Fourth Proportional to 967.73, 1,448 and 577.94

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Solution

The fourth proportional to 967.73, 1,448 and 577.94 is: 864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.73 : 1,448 = 577.94 : x
  2. Step 2: Convert to fraction form
    967.73/1,448 = 577.94/x
  3. Step 3: Cross multiply
    967.73x = 1,448 × 577.94
  4. Step 4: Simplify right side
    967.73x = 836,857.12
  5. Step 5: Solve for x
    x = 836,857.12/967.73
  6. Step 6: Final answer
    x = 864.76

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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.