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Finding the Fourth Proportional to 1,009.46, 1,514.38 and 351.31

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Solution

The fourth proportional to 1,009.46, 1,514.38 and 351.31 is: 527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.46 : 1,514.38 = 351.31 : x
  2. Step 2: Convert to fraction form
    1,009.46/1,514.38 = 351.31/x
  3. Step 3: Cross multiply
    1,009.46x = 1,514.38 × 351.31
  4. Step 4: Simplify right side
    1,009.46x = 532,016.84
  5. Step 5: Solve for x
    x = 532,016.84/1,009.46
  6. Step 6: Final answer
    x = 527.03

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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.