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Finding the Fourth Proportional to 1,072.81, 1,480.33 and 600.74

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Solution

The fourth proportional to 1,072.81, 1,480.33 and 600.74 is: 828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.81 : 1,480.33 = 600.74 : x
  2. Step 2: Convert to fraction form
    1,072.81/1,480.33 = 600.74/x
  3. Step 3: Cross multiply
    1,072.81x = 1,480.33 × 600.74
  4. Step 4: Simplify right side
    1,072.81x = 889,293.44
  5. Step 5: Solve for x
    x = 889,293.44/1,072.81
  6. Step 6: Final answer
    x = 828.94

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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.