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Finding the Fourth Proportional to 1,290.24, 1,778.40 and 995.40

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Solution

The fourth proportional to 1,290.24, 1,778.40 and 995.40 is: 1,372.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.24 : 1,778.40 = 995.40 : x
  2. Step 2: Convert to fraction form
    1,290.24/1,778.40 = 995.40/x
  3. Step 3: Cross multiply
    1,290.24x = 1,778.40 × 995.40
  4. Step 4: Simplify right side
    1,290.24x = 1,770,219.36
  5. Step 5: Solve for x
    x = 1,770,219.36/1,290.24
  6. Step 6: Final answer
    x = 1,372.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.