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Finding the Fourth Proportional to 777.73, 1,165.37 and 411.41

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Solution

The fourth proportional to 777.73, 1,165.37 and 411.41 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.73 : 1,165.37 = 411.41 : x
  2. Step 2: Convert to fraction form
    777.73/1,165.37 = 411.41/x
  3. Step 3: Cross multiply
    777.73x = 1,165.37 × 411.41
  4. Step 4: Simplify right side
    777.73x = 479,442.81
  5. Step 5: Solve for x
    x = 479,442.81/777.73
  6. Step 6: Final answer
    x = 616.47

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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.