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Finding the Fourth Proportional to 719.53, 1,079.09 and 225.83

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Solution

The fourth proportional to 719.53, 1,079.09 and 225.83 is: 338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.53 : 1,079.09 = 225.83 : x
  2. Step 2: Convert to fraction form
    719.53/1,079.09 = 225.83/x
  3. Step 3: Cross multiply
    719.53x = 1,079.09 × 225.83
  4. Step 4: Simplify right side
    719.53x = 243,689.77
  5. Step 5: Solve for x
    x = 243,689.77/719.53
  6. Step 6: Final answer
    x = 338.68

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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.