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Finding the Fourth Proportional to 739.14, 1,019.70 and 444.42

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Solution

The fourth proportional to 739.14, 1,019.70 and 444.42 is: 613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.14 : 1,019.70 = 444.42 : x
  2. Step 2: Convert to fraction form
    739.14/1,019.70 = 444.42/x
  3. Step 3: Cross multiply
    739.14x = 1,019.70 × 444.42
  4. Step 4: Simplify right side
    739.14x = 453,175.07
  5. Step 5: Solve for x
    x = 453,175.07/739.14
  6. Step 6: Final answer
    x = 613.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.