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Finding the Fourth Proportional to 739.62, 1,019.70 and 506.34

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Solution

The fourth proportional to 739.62, 1,019.70 and 506.34 is: 698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.62 : 1,019.70 = 506.34 : x
  2. Step 2: Convert to fraction form
    739.62/1,019.70 = 506.34/x
  3. Step 3: Cross multiply
    739.62x = 1,019.70 × 506.34
  4. Step 4: Simplify right side
    739.62x = 516,314.90
  5. Step 5: Solve for x
    x = 516,314.90/739.62
  6. Step 6: Final answer
    x = 698.08

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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.