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Finding the Fourth Proportional to 1,027.27, 1,541 and 378.46

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Solution

The fourth proportional to 1,027.27, 1,541 and 378.46 is: 567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.27 : 1,541 = 378.46 : x
  2. Step 2: Convert to fraction form
    1,027.27/1,541 = 378.46/x
  3. Step 3: Cross multiply
    1,027.27x = 1,541 × 378.46
  4. Step 4: Simplify right side
    1,027.27x = 583,206.86
  5. Step 5: Solve for x
    x = 583,206.86/1,027.27
  6. Step 6: Final answer
    x = 567.72

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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.