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Finding the Fourth Proportional to 730.84, 1,007.90 and 482.08

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Solution

The fourth proportional to 730.84, 1,007.90 and 482.08 is: 664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.84 : 1,007.90 = 482.08 : x
  2. Step 2: Convert to fraction form
    730.84/1,007.90 = 482.08/x
  3. Step 3: Cross multiply
    730.84x = 1,007.90 × 482.08
  4. Step 4: Simplify right side
    730.84x = 485,888.43
  5. Step 5: Solve for x
    x = 485,888.43/730.84
  6. Step 6: Final answer
    x = 664.84

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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.