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Finding the Fourth Proportional to 1,196.73, 1,795.10 and 807.39

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Solution

The fourth proportional to 1,196.73, 1,795.10 and 807.39 is: 1,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.73 : 1,795.10 = 807.39 : x
  2. Step 2: Convert to fraction form
    1,196.73/1,795.10 = 807.39/x
  3. Step 3: Cross multiply
    1,196.73x = 1,795.10 × 807.39
  4. Step 4: Simplify right side
    1,196.73x = 1,449,341.75
  5. Step 5: Solve for x
    x = 1,449,341.75/1,196.73
  6. Step 6: Final answer
    x = 1,211.09

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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.