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Finding the Fourth Proportional to 777.45, 1,165.77 and 229.53

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Solution

The fourth proportional to 777.45, 1,165.77 and 229.53 is: 344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.45 : 1,165.77 = 229.53 : x
  2. Step 2: Convert to fraction form
    777.45/1,165.77 = 229.53/x
  3. Step 3: Cross multiply
    777.45x = 1,165.77 × 229.53
  4. Step 4: Simplify right side
    777.45x = 267,579.19
  5. Step 5: Solve for x
    x = 267,579.19/777.45
  6. Step 6: Final answer
    x = 344.18

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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.