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Finding the Fourth Proportional to 777.82, 1,166.82 and 290.74

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Solution

The fourth proportional to 777.82, 1,166.82 and 290.74 is: 436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.82 : 1,166.82 = 290.74 : x
  2. Step 2: Convert to fraction form
    777.82/1,166.82 = 290.74/x
  3. Step 3: Cross multiply
    777.82x = 1,166.82 × 290.74
  4. Step 4: Simplify right side
    777.82x = 339,241.25
  5. Step 5: Solve for x
    x = 339,241.25/777.82
  6. Step 6: Final answer
    x = 436.14

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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.