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Finding the Fourth Proportional to 1,027.78, 1,541.80 and 378.42

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Solution

The fourth proportional to 1,027.78, 1,541.80 and 378.42 is: 567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.78 : 1,541.80 = 378.42 : x
  2. Step 2: Convert to fraction form
    1,027.78/1,541.80 = 378.42/x
  3. Step 3: Cross multiply
    1,027.78x = 1,541.80 × 378.42
  4. Step 4: Simplify right side
    1,027.78x = 583,447.96
  5. Step 5: Solve for x
    x = 583,447.96/1,027.78
  6. Step 6: Final answer
    x = 567.68

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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.