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Finding the Fourth Proportional to 777.67, 1,166.52 and 200.53

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Solution

The fourth proportional to 777.67, 1,166.52 and 200.53 is: 300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.67 : 1,166.52 = 200.53 : x
  2. Step 2: Convert to fraction form
    777.67/1,166.52 = 200.53/x
  3. Step 3: Cross multiply
    777.67x = 1,166.52 × 200.53
  4. Step 4: Simplify right side
    777.67x = 233,922.26
  5. Step 5: Solve for x
    x = 233,922.26/777.67
  6. Step 6: Final answer
    x = 300.80

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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.