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Finding the Fourth Proportional to 728.97, 1,005.98 and 434.24

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Solution

The fourth proportional to 728.97, 1,005.98 and 434.24 is: 599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.97 : 1,005.98 = 434.24 : x
  2. Step 2: Convert to fraction form
    728.97/1,005.98 = 434.24/x
  3. Step 3: Cross multiply
    728.97x = 1,005.98 × 434.24
  4. Step 4: Simplify right side
    728.97x = 436,833.33
  5. Step 5: Solve for x
    x = 436,833.33/728.97
  6. Step 6: Final answer
    x = 599.25

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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.