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Finding the Fourth Proportional to 1,009.79, 1,514.69 and 659.18

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Solution

The fourth proportional to 1,009.79, 1,514.69 and 659.18 is: 988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.79 : 1,514.69 = 659.18 : x
  2. Step 2: Convert to fraction form
    1,009.79/1,514.69 = 659.18/x
  3. Step 3: Cross multiply
    1,009.79x = 1,514.69 × 659.18
  4. Step 4: Simplify right side
    1,009.79x = 998,453.85
  5. Step 5: Solve for x
    x = 998,453.85/1,009.79
  6. Step 6: Final answer
    x = 988.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.