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Finding the Fourth Proportional to 1,496.31, 2,248.44 and 803.49

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Solution

The fourth proportional to 1,496.31, 2,248.44 and 803.49 is: 1,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.31 : 2,248.44 = 803.49 : x
  2. Step 2: Convert to fraction form
    1,496.31/2,248.44 = 803.49/x
  3. Step 3: Cross multiply
    1,496.31x = 2,248.44 × 803.49
  4. Step 4: Simplify right side
    1,496.31x = 1,806,599.06
  5. Step 5: Solve for x
    x = 1,806,599.06/1,496.31
  6. Step 6: Final answer
    x = 1,207.37

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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.