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Finding the Fourth Proportional to 995.40, 1,490.52 and 802.56

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Solution

The fourth proportional to 995.40, 1,490.52 and 802.56 is: 1,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.40 : 1,490.52 = 802.56 : x
  2. Step 2: Convert to fraction form
    995.40/1,490.52 = 802.56/x
  3. Step 3: Cross multiply
    995.40x = 1,490.52 × 802.56
  4. Step 4: Simplify right side
    995.40x = 1,196,231.73
  5. Step 5: Solve for x
    x = 1,196,231.73/995.40
  6. Step 6: Final answer
    x = 1,201.76

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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.