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Finding the Fourth Proportional to 777.80, 1,165.44 and 365.96

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Solution

The fourth proportional to 777.80, 1,165.44 and 365.96 is: 548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.80 : 1,165.44 = 365.96 : x
  2. Step 2: Convert to fraction form
    777.80/1,165.44 = 365.96/x
  3. Step 3: Cross multiply
    777.80x = 1,165.44 × 365.96
  4. Step 4: Simplify right side
    777.80x = 426,504.42
  5. Step 5: Solve for x
    x = 426,504.42/777.80
  6. Step 6: Final answer
    x = 548.35

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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.