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Finding the Fourth Proportional to 995.46, 1,491.71 and 682.02

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Solution

The fourth proportional to 995.46, 1,491.71 and 682.02 is: 1,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.46 : 1,491.71 = 682.02 : x
  2. Step 2: Convert to fraction form
    995.46/1,491.71 = 682.02/x
  3. Step 3: Cross multiply
    995.46x = 1,491.71 × 682.02
  4. Step 4: Simplify right side
    995.46x = 1,017,376.05
  5. Step 5: Solve for x
    x = 1,017,376.05/995.46
  6. Step 6: Final answer
    x = 1,022.02

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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.