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Finding the Fourth Proportional to 1,027.46, 1,541 and 369.22

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Solution

The fourth proportional to 1,027.46, 1,541 and 369.22 is: 553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.46 : 1,541 = 369.22 : x
  2. Step 2: Convert to fraction form
    1,027.46/1,541 = 369.22/x
  3. Step 3: Cross multiply
    1,027.46x = 1,541 × 369.22
  4. Step 4: Simplify right side
    1,027.46x = 568,968.02
  5. Step 5: Solve for x
    x = 568,968.02/1,027.46
  6. Step 6: Final answer
    x = 553.76

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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.