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Finding the Fourth Proportional to 777.75, 1,165.94 and 290.46

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Solution

The fourth proportional to 777.75, 1,165.94 and 290.46 is: 435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.75 : 1,165.94 = 290.46 : x
  2. Step 2: Convert to fraction form
    777.75/1,165.94 = 290.46/x
  3. Step 3: Cross multiply
    777.75x = 1,165.94 × 290.46
  4. Step 4: Simplify right side
    777.75x = 338,661.30
  5. Step 5: Solve for x
    x = 338,661.30/777.75
  6. Step 6: Final answer
    x = 435.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.