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Finding the Fourth Proportional to 901.48, 1,350.96 and 811.56

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Solution

The fourth proportional to 901.48, 1,350.96 and 811.56 is: 1,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.48 : 1,350.96 = 811.56 : x
  2. Step 2: Convert to fraction form
    901.48/1,350.96 = 811.56/x
  3. Step 3: Cross multiply
    901.48x = 1,350.96 × 811.56
  4. Step 4: Simplify right side
    901.48x = 1,096,385.10
  5. Step 5: Solve for x
    x = 1,096,385.10/901.48
  6. Step 6: Final answer
    x = 1,216.21

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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.