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Finding the Fourth Proportional to 1,196.88, 1,794.96 and 416.85

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Solution

The fourth proportional to 1,196.88, 1,794.96 and 416.85 is: 625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.88 : 1,794.96 = 416.85 : x
  2. Step 2: Convert to fraction form
    1,196.88/1,794.96 = 416.85/x
  3. Step 3: Cross multiply
    1,196.88x = 1,794.96 × 416.85
  4. Step 4: Simplify right side
    1,196.88x = 748,222.34
  5. Step 5: Solve for x
    x = 748,222.34/1,196.88
  6. Step 6: Final answer
    x = 625.15

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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.