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Finding the Fourth Proportional to 776.44, 1,071.49 and 444.86

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Solution

The fourth proportional to 776.44, 1,071.49 and 444.86 is: 613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.44 : 1,071.49 = 444.86 : x
  2. Step 2: Convert to fraction form
    776.44/1,071.49 = 444.86/x
  3. Step 3: Cross multiply
    776.44x = 1,071.49 × 444.86
  4. Step 4: Simplify right side
    776.44x = 476,660.82
  5. Step 5: Solve for x
    x = 476,660.82/776.44
  6. Step 6: Final answer
    x = 613.91

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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.