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Finding the Fourth Proportional to 1,196.55, 1,794.52 and 374.80

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Solution

The fourth proportional to 1,196.55, 1,794.52 and 374.80 is: 562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.55 : 1,794.52 = 374.80 : x
  2. Step 2: Convert to fraction form
    1,196.55/1,794.52 = 374.80/x
  3. Step 3: Cross multiply
    1,196.55x = 1,794.52 × 374.80
  4. Step 4: Simplify right side
    1,196.55x = 672,586.10
  5. Step 5: Solve for x
    x = 672,586.10/1,196.55
  6. Step 6: Final answer
    x = 562.10

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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.