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Finding the Fourth Proportional to 739.26, 1,109.16 and 410.58

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Solution

The fourth proportional to 739.26, 1,109.16 and 410.58 is: 616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.26 : 1,109.16 = 410.58 : x
  2. Step 2: Convert to fraction form
    739.26/1,109.16 = 410.58/x
  3. Step 3: Cross multiply
    739.26x = 1,109.16 × 410.58
  4. Step 4: Simplify right side
    739.26x = 455,398.91
  5. Step 5: Solve for x
    x = 455,398.91/739.26
  6. Step 6: Final answer
    x = 616.02

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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.