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Finding the Fourth Proportional to 1,009.44, 1,514.16 and 828.09

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Solution

The fourth proportional to 1,009.44, 1,514.16 and 828.09 is: 1,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.44 : 1,514.16 = 828.09 : x
  2. Step 2: Convert to fraction form
    1,009.44/1,514.16 = 828.09/x
  3. Step 3: Cross multiply
    1,009.44x = 1,514.16 × 828.09
  4. Step 4: Simplify right side
    1,009.44x = 1,253,860.75
  5. Step 5: Solve for x
    x = 1,253,860.75/1,009.44
  6. Step 6: Final answer
    x = 1,242.14

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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.