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Finding the Fourth Proportional to 906.86, 1,359.34 and 380.07

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Solution

The fourth proportional to 906.86, 1,359.34 and 380.07 is: 569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.86 : 1,359.34 = 380.07 : x
  2. Step 2: Convert to fraction form
    906.86/1,359.34 = 380.07/x
  3. Step 3: Cross multiply
    906.86x = 1,359.34 × 380.07
  4. Step 4: Simplify right side
    906.86x = 516,645.30
  5. Step 5: Solve for x
    x = 516,645.30/906.86
  6. Step 6: Final answer
    x = 569.71

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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.