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Finding the Fourth Proportional to 1,069.37, 1,603.92 and 289.43

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Solution

The fourth proportional to 1,069.37, 1,603.92 and 289.43 is: 434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.37 : 1,603.92 = 289.43 : x
  2. Step 2: Convert to fraction form
    1,069.37/1,603.92 = 289.43/x
  3. Step 3: Cross multiply
    1,069.37x = 1,603.92 × 289.43
  4. Step 4: Simplify right side
    1,069.37x = 464,222.57
  5. Step 5: Solve for x
    x = 464,222.57/1,069.37
  6. Step 6: Final answer
    x = 434.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.