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Finding the Fourth Proportional to 730.50, 1,007.83 and 482.07

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Solution

The fourth proportional to 730.50, 1,007.83 and 482.07 is: 665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.50 : 1,007.83 = 482.07 : x
  2. Step 2: Convert to fraction form
    730.50/1,007.83 = 482.07/x
  3. Step 3: Cross multiply
    730.50x = 1,007.83 × 482.07
  4. Step 4: Simplify right side
    730.50x = 485,844.61
  5. Step 5: Solve for x
    x = 485,844.61/730.50
  6. Step 6: Final answer
    x = 665.09

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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.