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Finding the Fourth Proportional to 709.01, 1,061.98 and 343.03

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Solution

The fourth proportional to 709.01, 1,061.98 and 343.03 is: 513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.01 : 1,061.98 = 343.03 : x
  2. Step 2: Convert to fraction form
    709.01/1,061.98 = 343.03/x
  3. Step 3: Cross multiply
    709.01x = 1,061.98 × 343.03
  4. Step 4: Simplify right side
    709.01x = 364,293.65
  5. Step 5: Solve for x
    x = 364,293.65/709.01
  6. Step 6: Final answer
    x = 513.80

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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.