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Finding the Fourth Proportional to 664.64, 993.10 and 535.04

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Solution

The fourth proportional to 664.64, 993.10 and 535.04 is: 799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 993.10 = 535.04 : x
  2. Step 2: Convert to fraction form
    664.64/993.10 = 535.04/x
  3. Step 3: Cross multiply
    664.64x = 993.10 × 535.04
  4. Step 4: Simplify right side
    664.64x = 531,348.22
  5. Step 5: Solve for x
    x = 531,348.22/664.64
  6. Step 6: Final answer
    x = 799.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.