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Finding the Fourth Proportional to 1,072.44, 1,480 and 630.26

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Solution

The fourth proportional to 1,072.44, 1,480 and 630.26 is: 869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.44 : 1,480 = 630.26 : x
  2. Step 2: Convert to fraction form
    1,072.44/1,480 = 630.26/x
  3. Step 3: Cross multiply
    1,072.44x = 1,480 × 630.26
  4. Step 4: Simplify right side
    1,072.44x = 932,784.80
  5. Step 5: Solve for x
    x = 932,784.80/1,072.44
  6. Step 6: Final answer
    x = 869.78

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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.