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Finding the Fourth Proportional to 1,348.84, 1,863.15 and 995.48

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Solution

The fourth proportional to 1,348.84, 1,863.15 and 995.48 is: 1,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.84 : 1,863.15 = 995.48 : x
  2. Step 2: Convert to fraction form
    1,348.84/1,863.15 = 995.48/x
  3. Step 3: Cross multiply
    1,348.84x = 1,863.15 × 995.48
  4. Step 4: Simplify right side
    1,348.84x = 1,854,719.25
  5. Step 5: Solve for x
    x = 1,854,719.25/1,348.84
  6. Step 6: Final answer
    x = 1,375.05

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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.