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Finding the Fourth Proportional to 779.93, 1,076.30 and 448.42

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Solution

The fourth proportional to 779.93, 1,076.30 and 448.42 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.93 : 1,076.30 = 448.42 : x
  2. Step 2: Convert to fraction form
    779.93/1,076.30 = 448.42/x
  3. Step 3: Cross multiply
    779.93x = 1,076.30 × 448.42
  4. Step 4: Simplify right side
    779.93x = 482,629.06
  5. Step 5: Solve for x
    x = 482,629.06/779.93
  6. Step 6: Final answer
    x = 618.81

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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.