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Finding the Fourth Proportional to 1,324.36, 1,986.54 and 544.78

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Solution

The fourth proportional to 1,324.36, 1,986.54 and 544.78 is: 817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.36 : 1,986.54 = 544.78 : x
  2. Step 2: Convert to fraction form
    1,324.36/1,986.54 = 544.78/x
  3. Step 3: Cross multiply
    1,324.36x = 1,986.54 × 544.78
  4. Step 4: Simplify right side
    1,324.36x = 1,082,227.26
  5. Step 5: Solve for x
    x = 1,082,227.26/1,324.36
  6. Step 6: Final answer
    x = 817.17

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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.