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Finding the Fourth Proportional to 1,372.86, 2,059.59 and 399.05

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Solution

The fourth proportional to 1,372.86, 2,059.59 and 399.05 is: 598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.86 : 2,059.59 = 399.05 : x
  2. Step 2: Convert to fraction form
    1,372.86/2,059.59 = 399.05/x
  3. Step 3: Cross multiply
    1,372.86x = 2,059.59 × 399.05
  4. Step 4: Simplify right side
    1,372.86x = 821,879.39
  5. Step 5: Solve for x
    x = 821,879.39/1,372.86
  6. Step 6: Final answer
    x = 598.66

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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.