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Finding the Fourth Proportional to 719.53, 1,079.27 and 206.53

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Solution

The fourth proportional to 719.53, 1,079.27 and 206.53 is: 309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.53 : 1,079.27 = 206.53 : x
  2. Step 2: Convert to fraction form
    719.53/1,079.27 = 206.53/x
  3. Step 3: Cross multiply
    719.53x = 1,079.27 × 206.53
  4. Step 4: Simplify right side
    719.53x = 222,900.60
  5. Step 5: Solve for x
    x = 222,900.60/719.53
  6. Step 6: Final answer
    x = 309.79

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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.