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Finding the Fourth Proportional to 664.63, 995.34 and 566.57

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Solution

The fourth proportional to 664.63, 995.34 and 566.57 is: 848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.63 : 995.34 = 566.57 : x
  2. Step 2: Convert to fraction form
    664.63/995.34 = 566.57/x
  3. Step 3: Cross multiply
    664.63x = 995.34 × 566.57
  4. Step 4: Simplify right side
    664.63x = 563,928.41
  5. Step 5: Solve for x
    x = 563,928.41/664.63
  6. Step 6: Final answer
    x = 848.48

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