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Finding the Fourth Proportional to 786.77, 1,180.16 and 266.78

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Solution

The fourth proportional to 786.77, 1,180.16 and 266.78 is: 400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.77 : 1,180.16 = 266.78 : x
  2. Step 2: Convert to fraction form
    786.77/1,180.16 = 266.78/x
  3. Step 3: Cross multiply
    786.77x = 1,180.16 × 266.78
  4. Step 4: Simplify right side
    786.77x = 314,843.08
  5. Step 5: Solve for x
    x = 314,843.08/786.77
  6. Step 6: Final answer
    x = 400.17

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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.