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Finding the Fourth Proportional to 786.04, 1,179 and 201.04

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Solution

The fourth proportional to 786.04, 1,179 and 201.04 is: 301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.04 : 1,179 = 201.04 : x
  2. Step 2: Convert to fraction form
    786.04/1,179 = 201.04/x
  3. Step 3: Cross multiply
    786.04x = 1,179 × 201.04
  4. Step 4: Simplify right side
    786.04x = 237,026.16
  5. Step 5: Solve for x
    x = 237,026.16/786.04
  6. Step 6: Final answer
    x = 301.54

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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.