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Finding the Fourth Proportional to 901.08, 1,244.34 and 835.56

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Solution

The fourth proportional to 901.08, 1,244.34 and 835.56 is: 1,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.08 : 1,244.34 = 835.56 : x
  2. Step 2: Convert to fraction form
    901.08/1,244.34 = 835.56/x
  3. Step 3: Cross multiply
    901.08x = 1,244.34 × 835.56
  4. Step 4: Simplify right side
    901.08x = 1,039,720.73
  5. Step 5: Solve for x
    x = 1,039,720.73/901.08
  6. Step 6: Final answer
    x = 1,153.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.