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Finding the Fourth Proportional to 709.09, 1,062.45 and 513.84

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Solution

The fourth proportional to 709.09, 1,062.45 and 513.84 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.09 : 1,062.45 = 513.84 : x
  2. Step 2: Convert to fraction form
    709.09/1,062.45 = 513.84/x
  3. Step 3: Cross multiply
    709.09x = 1,062.45 × 513.84
  4. Step 4: Simplify right side
    709.09x = 545,933.29
  5. Step 5: Solve for x
    x = 545,933.29/709.09
  6. Step 6: Final answer
    x = 769.91

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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.