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Finding the Fourth Proportional to 1,548.38, 2,322.99 and 817.76

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Solution

The fourth proportional to 1,548.38, 2,322.99 and 817.76 is: 1,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.38 : 2,322.99 = 817.76 : x
  2. Step 2: Convert to fraction form
    1,548.38/2,322.99 = 817.76/x
  3. Step 3: Cross multiply
    1,548.38x = 2,322.99 × 817.76
  4. Step 4: Simplify right side
    1,548.38x = 1,899,648.30
  5. Step 5: Solve for x
    x = 1,899,648.30/1,548.38
  6. Step 6: Final answer
    x = 1,226.86

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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.