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Finding the Fourth Proportional to 1,105.55, 1,655.07 and 995.39

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Solution

The fourth proportional to 1,105.55, 1,655.07 and 995.39 is: 1,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.55 : 1,655.07 = 995.39 : x
  2. Step 2: Convert to fraction form
    1,105.55/1,655.07 = 995.39/x
  3. Step 3: Cross multiply
    1,105.55x = 1,655.07 × 995.39
  4. Step 4: Simplify right side
    1,105.55x = 1,647,440.13
  5. Step 5: Solve for x
    x = 1,647,440.13/1,105.55
  6. Step 6: Final answer
    x = 1,490.15

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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.