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Finding the Fourth Proportional to 730.41, 1,007.98 and 450.83

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Solution

The fourth proportional to 730.41, 1,007.98 and 450.83 is: 622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.41 : 1,007.98 = 450.83 : x
  2. Step 2: Convert to fraction form
    730.41/1,007.98 = 450.83/x
  3. Step 3: Cross multiply
    730.41x = 1,007.98 × 450.83
  4. Step 4: Simplify right side
    730.41x = 454,429.02
  5. Step 5: Solve for x
    x = 454,429.02/730.41
  6. Step 6: Final answer
    x = 622.16

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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.