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Finding the Fourth Proportional to 664.03, 995.50 and 577.16

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Solution

The fourth proportional to 664.03, 995.50 and 577.16 is: 865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.03 : 995.50 = 577.16 : x
  2. Step 2: Convert to fraction form
    664.03/995.50 = 577.16/x
  3. Step 3: Cross multiply
    664.03x = 995.50 × 577.16
  4. Step 4: Simplify right side
    664.03x = 574,562.78
  5. Step 5: Solve for x
    x = 574,562.78/664.03
  6. Step 6: Final answer
    x = 865.27

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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.