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Finding the Fourth Proportional to 1,012.26, 1,518.38 and 781.48

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Solution

The fourth proportional to 1,012.26, 1,518.38 and 781.48 is: 1,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.26 : 1,518.38 = 781.48 : x
  2. Step 2: Convert to fraction form
    1,012.26/1,518.38 = 781.48/x
  3. Step 3: Cross multiply
    1,012.26x = 1,518.38 × 781.48
  4. Step 4: Simplify right side
    1,012.26x = 1,186,589.38
  5. Step 5: Solve for x
    x = 1,186,589.38/1,012.26
  6. Step 6: Final answer
    x = 1,172.22

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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.