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Finding the Fourth Proportional to 1,069.40, 1,604.05 and 376.22

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Solution

The fourth proportional to 1,069.40, 1,604.05 and 376.22 is: 564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.40 : 1,604.05 = 376.22 : x
  2. Step 2: Convert to fraction form
    1,069.40/1,604.05 = 376.22/x
  3. Step 3: Cross multiply
    1,069.40x = 1,604.05 × 376.22
  4. Step 4: Simplify right side
    1,069.40x = 603,475.69
  5. Step 5: Solve for x
    x = 603,475.69/1,069.40
  6. Step 6: Final answer
    x = 564.32

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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.