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Finding the Fourth Proportional to 664.29, 995.56 and 509.63

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Solution

The fourth proportional to 664.29, 995.56 and 509.63 is: 763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.29 : 995.56 = 509.63 : x
  2. Step 2: Convert to fraction form
    664.29/995.56 = 509.63/x
  3. Step 3: Cross multiply
    664.29x = 995.56 × 509.63
  4. Step 4: Simplify right side
    664.29x = 507,360.99
  5. Step 5: Solve for x
    x = 507,360.99/664.29
  6. Step 6: Final answer
    x = 763.76

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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.