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Finding the Fourth Proportional to 1,362.26, 1,879.92 and 772.80

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Solution

The fourth proportional to 1,362.26, 1,879.92 and 772.80 is: 1,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.26 : 1,879.92 = 772.80 : x
  2. Step 2: Convert to fraction form
    1,362.26/1,879.92 = 772.80/x
  3. Step 3: Cross multiply
    1,362.26x = 1,879.92 × 772.80
  4. Step 4: Simplify right side
    1,362.26x = 1,452,802.18
  5. Step 5: Solve for x
    x = 1,452,802.18/1,362.26
  6. Step 6: Final answer
    x = 1,066.46

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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.