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Finding the Fourth Proportional to 1,049.41, 1,448.31 and 607.54

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Solution

The fourth proportional to 1,049.41, 1,448.31 and 607.54 is: 838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.41 : 1,448.31 = 607.54 : x
  2. Step 2: Convert to fraction form
    1,049.41/1,448.31 = 607.54/x
  3. Step 3: Cross multiply
    1,049.41x = 1,448.31 × 607.54
  4. Step 4: Simplify right side
    1,049.41x = 879,906.26
  5. Step 5: Solve for x
    x = 879,906.26/1,049.41
  6. Step 6: Final answer
    x = 838.48

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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.