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Finding the Fourth Proportional to 1,197.79, 1,793.95 and 937.37

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Solution

The fourth proportional to 1,197.79, 1,793.95 and 937.37 is: 1,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.79 : 1,793.95 = 937.37 : x
  2. Step 2: Convert to fraction form
    1,197.79/1,793.95 = 937.37/x
  3. Step 3: Cross multiply
    1,197.79x = 1,793.95 × 937.37
  4. Step 4: Simplify right side
    1,197.79x = 1,681,597.05
  5. Step 5: Solve for x
    x = 1,681,597.05/1,197.79
  6. Step 6: Final answer
    x = 1,403.92

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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.