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Finding the Fourth Proportional to 1,803.48, 2,704.32 and 828.75

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Solution

The fourth proportional to 1,803.48, 2,704.32 and 828.75 is: 1,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.48 : 2,704.32 = 828.75 : x
  2. Step 2: Convert to fraction form
    1,803.48/2,704.32 = 828.75/x
  3. Step 3: Cross multiply
    1,803.48x = 2,704.32 × 828.75
  4. Step 4: Simplify right side
    1,803.48x = 2,241,205.20
  5. Step 5: Solve for x
    x = 2,241,205.20/1,803.48
  6. Step 6: Final answer
    x = 1,242.71

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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.