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Finding the Fourth Proportional to 1,216.73, 1,825.10 and 1,009.37

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Solution

The fourth proportional to 1,216.73, 1,825.10 and 1,009.37 is: 1,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.73 : 1,825.10 = 1,009.37 : x
  2. Step 2: Convert to fraction form
    1,216.73/1,825.10 = 1,009.37/x
  3. Step 3: Cross multiply
    1,216.73x = 1,825.10 × 1,009.37
  4. Step 4: Simplify right side
    1,216.73x = 1,842,201.19
  5. Step 5: Solve for x
    x = 1,842,201.19/1,216.73
  6. Step 6: Final answer
    x = 1,514.06

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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.