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Finding the Fourth Proportional to 1,304.96, 1,955.97 and 995.78

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Solution

The fourth proportional to 1,304.96, 1,955.97 and 995.78 is: 1,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.96 : 1,955.97 = 995.78 : x
  2. Step 2: Convert to fraction form
    1,304.96/1,955.97 = 995.78/x
  3. Step 3: Cross multiply
    1,304.96x = 1,955.97 × 995.78
  4. Step 4: Simplify right side
    1,304.96x = 1,947,720.70
  5. Step 5: Solve for x
    x = 1,947,720.70/1,304.96
  6. Step 6: Final answer
    x = 1,492.56

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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.