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Finding the Fourth Proportional to 986.78, 1,480.56 and 467.78

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Solution

The fourth proportional to 986.78, 1,480.56 and 467.78 is: 701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.78 : 1,480.56 = 467.78 : x
  2. Step 2: Convert to fraction form
    986.78/1,480.56 = 467.78/x
  3. Step 3: Cross multiply
    986.78x = 1,480.56 × 467.78
  4. Step 4: Simplify right side
    986.78x = 692,576.36
  5. Step 5: Solve for x
    x = 692,576.36/986.78
  6. Step 6: Final answer
    x = 701.85

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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.