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Finding the Fourth Proportional to 995.77, 1,493.59 and 265.33

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Solution

The fourth proportional to 995.77, 1,493.59 and 265.33 is: 397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.77 : 1,493.59 = 265.33 : x
  2. Step 2: Convert to fraction form
    995.77/1,493.59 = 265.33/x
  3. Step 3: Cross multiply
    995.77x = 1,493.59 × 265.33
  4. Step 4: Simplify right side
    995.77x = 396,294.23
  5. Step 5: Solve for x
    x = 396,294.23/995.77
  6. Step 6: Final answer
    x = 397.98

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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.