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Finding the Fourth Proportional to 1,200.14, 1,800.06 and 378.43

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Solution

The fourth proportional to 1,200.14, 1,800.06 and 378.43 is: 567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.14 : 1,800.06 = 378.43 : x
  2. Step 2: Convert to fraction form
    1,200.14/1,800.06 = 378.43/x
  3. Step 3: Cross multiply
    1,200.14x = 1,800.06 × 378.43
  4. Step 4: Simplify right side
    1,200.14x = 681,187.71
  5. Step 5: Solve for x
    x = 681,187.71/1,200.14
  6. Step 6: Final answer
    x = 567.59

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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.