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Finding the Fourth Proportional to 901.35, 1,350.54 and 826.71

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Solution

The fourth proportional to 901.35, 1,350.54 and 826.71 is: 1,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.35 : 1,350.54 = 826.71 : x
  2. Step 2: Convert to fraction form
    901.35/1,350.54 = 826.71/x
  3. Step 3: Cross multiply
    901.35x = 1,350.54 × 826.71
  4. Step 4: Simplify right side
    901.35x = 1,116,504.92
  5. Step 5: Solve for x
    x = 1,116,504.92/901.35
  6. Step 6: Final answer
    x = 1,238.70

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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.