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Finding the Fourth Proportional to 1,196.78, 1,794.68 and 456.66

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Solution

The fourth proportional to 1,196.78, 1,794.68 and 456.66 is: 684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.78 : 1,794.68 = 456.66 : x
  2. Step 2: Convert to fraction form
    1,196.78/1,794.68 = 456.66/x
  3. Step 3: Cross multiply
    1,196.78x = 1,794.68 × 456.66
  4. Step 4: Simplify right side
    1,196.78x = 819,557.14
  5. Step 5: Solve for x
    x = 819,557.14/1,196.78
  6. Step 6: Final answer
    x = 684.80

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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.