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Finding the Fourth Proportional to 906.17, 1,359.44 and 289.86

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Solution

The fourth proportional to 906.17, 1,359.44 and 289.86 is: 434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.17 : 1,359.44 = 289.86 : x
  2. Step 2: Convert to fraction form
    906.17/1,359.44 = 289.86/x
  3. Step 3: Cross multiply
    906.17x = 1,359.44 × 289.86
  4. Step 4: Simplify right side
    906.17x = 394,047.28
  5. Step 5: Solve for x
    x = 394,047.28/906.17
  6. Step 6: Final answer
    x = 434.85

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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.