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Finding the Fourth Proportional to 728.92, 1,005.83 and 445.20

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Solution

The fourth proportional to 728.92, 1,005.83 and 445.20 is: 614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.92 : 1,005.83 = 445.20 : x
  2. Step 2: Convert to fraction form
    728.92/1,005.83 = 445.20/x
  3. Step 3: Cross multiply
    728.92x = 1,005.83 × 445.20
  4. Step 4: Simplify right side
    728.92x = 447,788.26
  5. Step 5: Solve for x
    x = 447,788.26/728.92
  6. Step 6: Final answer
    x = 614.32

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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.