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Finding the Fourth Proportional to 1,069.64, 1,604.49 and 367.02

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Solution

The fourth proportional to 1,069.64, 1,604.49 and 367.02 is: 550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.64 : 1,604.49 = 367.02 : x
  2. Step 2: Convert to fraction form
    1,069.64/1,604.49 = 367.02/x
  3. Step 3: Cross multiply
    1,069.64x = 1,604.49 × 367.02
  4. Step 4: Simplify right side
    1,069.64x = 588,871.02
  5. Step 5: Solve for x
    x = 588,871.02/1,069.64
  6. Step 6: Final answer
    x = 550.53

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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.