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Finding the Fourth Proportional to 1,233.45, 1,703.60 and 1,115.39

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Solution

The fourth proportional to 1,233.45, 1,703.60 and 1,115.39 is: 1,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.45 : 1,703.60 = 1,115.39 : x
  2. Step 2: Convert to fraction form
    1,233.45/1,703.60 = 1,115.39/x
  3. Step 3: Cross multiply
    1,233.45x = 1,703.60 × 1,115.39
  4. Step 4: Simplify right side
    1,233.45x = 1,900,178.40
  5. Step 5: Solve for x
    x = 1,900,178.40/1,233.45
  6. Step 6: Final answer
    x = 1,540.54

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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.