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Finding the Fourth Proportional to 1,196.16, 1,794.66 and 547.38

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Solution

The fourth proportional to 1,196.16, 1,794.66 and 547.38 is: 821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.16 : 1,794.66 = 547.38 : x
  2. Step 2: Convert to fraction form
    1,196.16/1,794.66 = 547.38/x
  3. Step 3: Cross multiply
    1,196.16x = 1,794.66 × 547.38
  4. Step 4: Simplify right side
    1,196.16x = 982,360.99
  5. Step 5: Solve for x
    x = 982,360.99/1,196.16
  6. Step 6: Final answer
    x = 821.26

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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.