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Finding the Fourth Proportional to 719.06, 1,078.22 and 348.80

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Solution

The fourth proportional to 719.06, 1,078.22 and 348.80 is: 523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.06 : 1,078.22 = 348.80 : x
  2. Step 2: Convert to fraction form
    719.06/1,078.22 = 348.80/x
  3. Step 3: Cross multiply
    719.06x = 1,078.22 × 348.80
  4. Step 4: Simplify right side
    719.06x = 376,083.14
  5. Step 5: Solve for x
    x = 376,083.14/719.06
  6. Step 6: Final answer
    x = 523.02

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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.