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Finding the Fourth Proportional to 995.89, 1,493.70 and 265.52

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Solution

The fourth proportional to 995.89, 1,493.70 and 265.52 is: 398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.89 : 1,493.70 = 265.52 : x
  2. Step 2: Convert to fraction form
    995.89/1,493.70 = 265.52/x
  3. Step 3: Cross multiply
    995.89x = 1,493.70 × 265.52
  4. Step 4: Simplify right side
    995.89x = 396,607.22
  5. Step 5: Solve for x
    x = 396,607.22/995.89
  6. Step 6: Final answer
    x = 398.24

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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.