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Finding the Fourth Proportional to 1,796.04, 2,693.80 and 563.12

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Solution

The fourth proportional to 1,796.04, 2,693.80 and 563.12 is: 844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.04 : 2,693.80 = 563.12 : x
  2. Step 2: Convert to fraction form
    1,796.04/2,693.80 = 563.12/x
  3. Step 3: Cross multiply
    1,796.04x = 2,693.80 × 563.12
  4. Step 4: Simplify right side
    1,796.04x = 1,516,932.66
  5. Step 5: Solve for x
    x = 1,516,932.66/1,796.04
  6. Step 6: Final answer
    x = 844.60

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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.