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Finding the Fourth Proportional to 1,462.06, 2,017.62 and 798.88

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Solution

The fourth proportional to 1,462.06, 2,017.62 and 798.88 is: 1,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.06 : 2,017.62 = 798.88 : x
  2. Step 2: Convert to fraction form
    1,462.06/2,017.62 = 798.88/x
  3. Step 3: Cross multiply
    1,462.06x = 2,017.62 × 798.88
  4. Step 4: Simplify right side
    1,462.06x = 1,611,836.27
  5. Step 5: Solve for x
    x = 1,611,836.27/1,462.06
  6. Step 6: Final answer
    x = 1,102.44

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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.