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Finding the Fourth Proportional to 995.90, 1,493.24 and 509.29

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Solution

The fourth proportional to 995.90, 1,493.24 and 509.29 is: 763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.90 : 1,493.24 = 509.29 : x
  2. Step 2: Convert to fraction form
    995.90/1,493.24 = 509.29/x
  3. Step 3: Cross multiply
    995.90x = 1,493.24 × 509.29
  4. Step 4: Simplify right side
    995.90x = 760,485.92
  5. Step 5: Solve for x
    x = 760,485.92/995.90
  6. Step 6: Final answer
    x = 763.62

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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.