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Finding the Fourth Proportional to 1,197.27, 1,793.57 and 785.15

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Solution

The fourth proportional to 1,197.27, 1,793.57 and 785.15 is: 1,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.27 : 1,793.57 = 785.15 : x
  2. Step 2: Convert to fraction form
    1,197.27/1,793.57 = 785.15/x
  3. Step 3: Cross multiply
    1,197.27x = 1,793.57 × 785.15
  4. Step 4: Simplify right side
    1,197.27x = 1,408,215.32
  5. Step 5: Solve for x
    x = 1,408,215.32/1,197.27
  6. Step 6: Final answer
    x = 1,176.19

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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.