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Finding the Fourth Proportional to 1,196.33, 1,794.47 and 374.58

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Solution

The fourth proportional to 1,196.33, 1,794.47 and 374.58 is: 561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.33 : 1,794.47 = 374.58 : x
  2. Step 2: Convert to fraction form
    1,196.33/1,794.47 = 374.58/x
  3. Step 3: Cross multiply
    1,196.33x = 1,794.47 × 374.58
  4. Step 4: Simplify right side
    1,196.33x = 672,170.70
  5. Step 5: Solve for x
    x = 672,170.70/1,196.33
  6. Step 6: Final answer
    x = 561.86

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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.