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Finding the Fourth Proportional to 786.57, 1,179.85 and 201.57

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Solution

The fourth proportional to 786.57, 1,179.85 and 201.57 is: 302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.57 : 1,179.85 = 201.57 : x
  2. Step 2: Convert to fraction form
    786.57/1,179.85 = 201.57/x
  3. Step 3: Cross multiply
    786.57x = 1,179.85 × 201.57
  4. Step 4: Simplify right side
    786.57x = 237,823.56
  5. Step 5: Solve for x
    x = 237,823.56/786.57
  6. Step 6: Final answer
    x = 302.35

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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.