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Finding the Fourth Proportional to 719.71, 1,079.41 and 199.57

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Solution

The fourth proportional to 719.71, 1,079.41 and 199.57 is: 299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.71 : 1,079.41 = 199.57 : x
  2. Step 2: Convert to fraction form
    719.71/1,079.41 = 199.57/x
  3. Step 3: Cross multiply
    719.71x = 1,079.41 × 199.57
  4. Step 4: Simplify right side
    719.71x = 215,417.85
  5. Step 5: Solve for x
    x = 215,417.85/719.71
  6. Step 6: Final answer
    x = 299.31

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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.