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Finding the Fourth Proportional to 1,804.08, 2,704.12 and 829.20

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Solution

The fourth proportional to 1,804.08, 2,704.12 and 829.20 is: 1,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.08 : 2,704.12 = 829.20 : x
  2. Step 2: Convert to fraction form
    1,804.08/2,704.12 = 829.20/x
  3. Step 3: Cross multiply
    1,804.08x = 2,704.12 × 829.20
  4. Step 4: Simplify right side
    1,804.08x = 2,242,256.30
  5. Step 5: Solve for x
    x = 2,242,256.30/1,804.08
  6. Step 6: Final answer
    x = 1,242.88

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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.