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Finding the Fourth Proportional to 1,548.01, 2,322.01 and 817.59

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Solution

The fourth proportional to 1,548.01, 2,322.01 and 817.59 is: 1,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.01 : 2,322.01 = 817.59 : x
  2. Step 2: Convert to fraction form
    1,548.01/2,322.01 = 817.59/x
  3. Step 3: Cross multiply
    1,548.01x = 2,322.01 × 817.59
  4. Step 4: Simplify right side
    1,548.01x = 1,898,452.16
  5. Step 5: Solve for x
    x = 1,898,452.16/1,548.01
  6. Step 6: Final answer
    x = 1,226.39

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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.