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Finding the Fourth Proportional to 786.37, 1,179.10 and 266.20

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Solution

The fourth proportional to 786.37, 1,179.10 and 266.20 is: 399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.37 : 1,179.10 = 266.20 : x
  2. Step 2: Convert to fraction form
    786.37/1,179.10 = 266.20/x
  3. Step 3: Cross multiply
    786.37x = 1,179.10 × 266.20
  4. Step 4: Simplify right side
    786.37x = 313,872.81
  5. Step 5: Solve for x
    x = 313,872.81/786.37
  6. Step 6: Final answer
    x = 399.14

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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.