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Finding the Fourth Proportional to 719.93, 1,079.14 and 349.18

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Solution

The fourth proportional to 719.93, 1,079.14 and 349.18 is: 523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.93 : 1,079.14 = 349.18 : x
  2. Step 2: Convert to fraction form
    719.93/1,079.14 = 349.18/x
  3. Step 3: Cross multiply
    719.93x = 1,079.14 × 349.18
  4. Step 4: Simplify right side
    719.93x = 376,817.26
  5. Step 5: Solve for x
    x = 376,817.26/719.93
  6. Step 6: Final answer
    x = 523.41

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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.