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Finding the Fourth Proportional to 730.33, 1,007.87 and 398.77

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Solution

The fourth proportional to 730.33, 1,007.87 and 398.77 is: 550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.33 : 1,007.87 = 398.77 : x
  2. Step 2: Convert to fraction form
    730.33/1,007.87 = 398.77/x
  3. Step 3: Cross multiply
    730.33x = 1,007.87 × 398.77
  4. Step 4: Simplify right side
    730.33x = 401,908.32
  5. Step 5: Solve for x
    x = 401,908.32/730.33
  6. Step 6: Final answer
    x = 550.31

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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.