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Finding the Fourth Proportional to 786.83, 1,180.25 and 266.81

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Solution

The fourth proportional to 786.83, 1,180.25 and 266.81 is: 400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.83 : 1,180.25 = 266.81 : x
  2. Step 2: Convert to fraction form
    786.83/1,180.25 = 266.81/x
  3. Step 3: Cross multiply
    786.83x = 1,180.25 × 266.81
  4. Step 4: Simplify right side
    786.83x = 314,902.50
  5. Step 5: Solve for x
    x = 314,902.50/786.83
  6. Step 6: Final answer
    x = 400.22

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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.