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Finding the Fourth Proportional to 664.52, 995.63 and 581.33

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Solution

The fourth proportional to 664.52, 995.63 and 581.33 is: 870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.52 : 995.63 = 581.33 : x
  2. Step 2: Convert to fraction form
    664.52/995.63 = 581.33/x
  3. Step 3: Cross multiply
    664.52x = 995.63 × 581.33
  4. Step 4: Simplify right side
    664.52x = 578,783.57
  5. Step 5: Solve for x
    x = 578,783.57/664.52
  6. Step 6: Final answer
    x = 870.98

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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.