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Finding the Fourth Proportional to 1,069.04, 1,604.04 and 419.56

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Solution

The fourth proportional to 1,069.04, 1,604.04 and 419.56 is: 629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.04 : 1,604.04 = 419.56 : x
  2. Step 2: Convert to fraction form
    1,069.04/1,604.04 = 419.56/x
  3. Step 3: Cross multiply
    1,069.04x = 1,604.04 × 419.56
  4. Step 4: Simplify right side
    1,069.04x = 672,991.02
  5. Step 5: Solve for x
    x = 672,991.02/1,069.04
  6. Step 6: Final answer
    x = 629.53

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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.