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Finding the Fourth Proportional to 777.53, 1,166.24 and 290.54

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Solution

The fourth proportional to 777.53, 1,166.24 and 290.54 is: 435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.53 : 1,166.24 = 290.54 : x
  2. Step 2: Convert to fraction form
    777.53/1,166.24 = 290.54/x
  3. Step 3: Cross multiply
    777.53x = 1,166.24 × 290.54
  4. Step 4: Simplify right side
    777.53x = 338,832.09
  5. Step 5: Solve for x
    x = 338,832.09/777.53
  6. Step 6: Final answer
    x = 435.78

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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.