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Finding the Fourth Proportional to 730.09, 1,007.94 and 482.14

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Solution

The fourth proportional to 730.09, 1,007.94 and 482.14 is: 665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.09 : 1,007.94 = 482.14 : x
  2. Step 2: Convert to fraction form
    730.09/1,007.94 = 482.14/x
  3. Step 3: Cross multiply
    730.09x = 1,007.94 × 482.14
  4. Step 4: Simplify right side
    730.09x = 485,968.19
  5. Step 5: Solve for x
    x = 485,968.19/730.09
  6. Step 6: Final answer
    x = 665.63

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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.