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Finding the Fourth Proportional to 701.03, 1,049.46 and 519.23

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Solution

The fourth proportional to 701.03, 1,049.46 and 519.23 is: 777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.03 : 1,049.46 = 519.23 : x
  2. Step 2: Convert to fraction form
    701.03/1,049.46 = 519.23/x
  3. Step 3: Cross multiply
    701.03x = 1,049.46 × 519.23
  4. Step 4: Simplify right side
    701.03x = 544,913.74
  5. Step 5: Solve for x
    x = 544,913.74/701.03
  6. Step 6: Final answer
    x = 777.31

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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.