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Finding the Fourth Proportional to 1,255.70, 1,883.62 and 378.20

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Solution

The fourth proportional to 1,255.70, 1,883.62 and 378.20 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.70 : 1,883.62 = 378.20 : x
  2. Step 2: Convert to fraction form
    1,255.70/1,883.62 = 378.20/x
  3. Step 3: Cross multiply
    1,255.70x = 1,883.62 × 378.20
  4. Step 4: Simplify right side
    1,255.70x = 712,390.27
  5. Step 5: Solve for x
    x = 712,390.27/1,255.70
  6. Step 6: Final answer
    x = 567.32

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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.