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Finding the Fourth Proportional to 1,196.08, 1,793.67 and 785.11

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Solution

The fourth proportional to 1,196.08, 1,793.67 and 785.11 is: 1,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.08 : 1,793.67 = 785.11 : x
  2. Step 2: Convert to fraction form
    1,196.08/1,793.67 = 785.11/x
  3. Step 3: Cross multiply
    1,196.08x = 1,793.67 × 785.11
  4. Step 4: Simplify right side
    1,196.08x = 1,408,219.84
  5. Step 5: Solve for x
    x = 1,408,219.84/1,196.08
  6. Step 6: Final answer
    x = 1,177.36

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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.