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Finding the Fourth Proportional to 995.25, 1,493.55 and 508.63

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Solution

The fourth proportional to 995.25, 1,493.55 and 508.63 is: 763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.25 : 1,493.55 = 508.63 : x
  2. Step 2: Convert to fraction form
    995.25/1,493.55 = 508.63/x
  3. Step 3: Cross multiply
    995.25x = 1,493.55 × 508.63
  4. Step 4: Simplify right side
    995.25x = 759,664.34
  5. Step 5: Solve for x
    x = 759,664.34/995.25
  6. Step 6: Final answer
    x = 763.29

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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.