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Finding the Fourth Proportional to 777.54, 1,074.46 and 630.94

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Solution

The fourth proportional to 777.54, 1,074.46 and 630.94 is: 871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.54 : 1,074.46 = 630.94 : x
  2. Step 2: Convert to fraction form
    777.54/1,074.46 = 630.94/x
  3. Step 3: Cross multiply
    777.54x = 1,074.46 × 630.94
  4. Step 4: Simplify right side
    777.54x = 677,919.79
  5. Step 5: Solve for x
    x = 677,919.79/777.54
  6. Step 6: Final answer
    x = 871.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.