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Finding the Fourth Proportional to 1,196.02, 1,794.03 and 375.02

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Solution

The fourth proportional to 1,196.02, 1,794.03 and 375.02 is: 562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.02 : 1,794.03 = 375.02 : x
  2. Step 2: Convert to fraction form
    1,196.02/1,794.03 = 375.02/x
  3. Step 3: Cross multiply
    1,196.02x = 1,794.03 × 375.02
  4. Step 4: Simplify right side
    1,196.02x = 672,797.13
  5. Step 5: Solve for x
    x = 672,797.13/1,196.02
  6. Step 6: Final answer
    x = 562.53

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Double scale
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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.