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Finding the Fourth Proportional to 901.49, 1,343.27 and 803.24

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Solution

The fourth proportional to 901.49, 1,343.27 and 803.24 is: 1,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.49 : 1,343.27 = 803.24 : x
  2. Step 2: Convert to fraction form
    901.49/1,343.27 = 803.24/x
  3. Step 3: Cross multiply
    901.49x = 1,343.27 × 803.24
  4. Step 4: Simplify right side
    901.49x = 1,078,961.48
  5. Step 5: Solve for x
    x = 1,078,961.48/901.49
  6. Step 6: Final answer
    x = 1,196.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.