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Finding the Fourth Proportional to 1,196.81, 1,794.63 and 709.73

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Solution

The fourth proportional to 1,196.81, 1,794.63 and 709.73 is: 1,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.81 : 1,794.63 = 709.73 : x
  2. Step 2: Convert to fraction form
    1,196.81/1,794.63 = 709.73/x
  3. Step 3: Cross multiply
    1,196.81x = 1,794.63 × 709.73
  4. Step 4: Simplify right side
    1,196.81x = 1,273,702.75
  5. Step 5: Solve for x
    x = 1,273,702.75/1,196.81
  6. Step 6: Final answer
    x = 1,064.25

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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.