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Finding the Fourth Proportional to 986.95, 1,480.30 and 823.46

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Solution

The fourth proportional to 986.95, 1,480.30 and 823.46 is: 1,235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.95 : 1,480.30 = 823.46 : x
  2. Step 2: Convert to fraction form
    986.95/1,480.30 = 823.46/x
  3. Step 3: Cross multiply
    986.95x = 1,480.30 × 823.46
  4. Step 4: Simplify right side
    986.95x = 1,218,963.01
  5. Step 5: Solve for x
    x = 1,218,963.01/986.95
  6. Step 6: Final answer
    x = 1,235.09

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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.