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Finding the Fourth Proportional to 664.82, 995.33 and 528.06

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Solution

The fourth proportional to 664.82, 995.33 and 528.06 is: 790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.82 : 995.33 = 528.06 : x
  2. Step 2: Convert to fraction form
    664.82/995.33 = 528.06/x
  3. Step 3: Cross multiply
    664.82x = 995.33 × 528.06
  4. Step 4: Simplify right side
    664.82x = 525,593.96
  5. Step 5: Solve for x
    x = 525,593.96/664.82
  6. Step 6: Final answer
    x = 790.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.