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Finding the Fourth Proportional to 777.84, 1,166 and 290.80

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Solution

The fourth proportional to 777.84, 1,166 and 290.80 is: 435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.84 : 1,166 = 290.80 : x
  2. Step 2: Convert to fraction form
    777.84/1,166 = 290.80/x
  3. Step 3: Cross multiply
    777.84x = 1,166 × 290.80
  4. Step 4: Simplify right side
    777.84x = 339,072.80
  5. Step 5: Solve for x
    x = 339,072.80/777.84
  6. Step 6: Final answer
    x = 435.92

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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.