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Finding the Fourth Proportional to 1,803.06, 2,704.62 and 829.98

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Solution

The fourth proportional to 1,803.06, 2,704.62 and 829.98 is: 1,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.06 : 2,704.62 = 829.98 : x
  2. Step 2: Convert to fraction form
    1,803.06/2,704.62 = 829.98/x
  3. Step 3: Cross multiply
    1,803.06x = 2,704.62 × 829.98
  4. Step 4: Simplify right side
    1,803.06x = 2,244,780.51
  5. Step 5: Solve for x
    x = 2,244,780.51/1,803.06
  6. Step 6: Final answer
    x = 1,244.98

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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.