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Finding the Fourth Proportional to 995.06, 1,490.04 and 965.87

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Solution

The fourth proportional to 995.06, 1,490.04 and 965.87 is: 1,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.06 : 1,490.04 = 965.87 : x
  2. Step 2: Convert to fraction form
    995.06/1,490.04 = 965.87/x
  3. Step 3: Cross multiply
    995.06x = 1,490.04 × 965.87
  4. Step 4: Simplify right side
    995.06x = 1,439,184.93
  5. Step 5: Solve for x
    x = 1,439,184.93/995.06
  6. Step 6: Final answer
    x = 1,446.33

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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.