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Finding the Fourth Proportional to 721.05, 996.33 and 564.08

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Solution

The fourth proportional to 721.05, 996.33 and 564.08 is: 779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.05 : 996.33 = 564.08 : x
  2. Step 2: Convert to fraction form
    721.05/996.33 = 564.08/x
  3. Step 3: Cross multiply
    721.05x = 996.33 × 564.08
  4. Step 4: Simplify right side
    721.05x = 562,004.84
  5. Step 5: Solve for x
    x = 562,004.84/721.05
  6. Step 6: Final answer
    x = 779.43

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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.