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Finding the Fourth Proportional to 1,803.80, 2,704.60 and 706.85

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Solution

The fourth proportional to 1,803.80, 2,704.60 and 706.85 is: 1,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.80 : 2,704.60 = 706.85 : x
  2. Step 2: Convert to fraction form
    1,803.80/2,704.60 = 706.85/x
  3. Step 3: Cross multiply
    1,803.80x = 2,704.60 × 706.85
  4. Step 4: Simplify right side
    1,803.80x = 1,911,731.22
  5. Step 5: Solve for x
    x = 1,911,731.22/1,803.80
  6. Step 6: Final answer
    x = 1,059.84

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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.