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Finding the Fourth Proportional to 1,069.62, 1,603.86 and 492

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Solution

The fourth proportional to 1,069.62, 1,603.86 and 492 is: 737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.62 : 1,603.86 = 492 : x
  2. Step 2: Convert to fraction form
    1,069.62/1,603.86 = 492/x
  3. Step 3: Cross multiply
    1,069.62x = 1,603.86 × 492
  4. Step 4: Simplify right side
    1,069.62x = 789,099.12
  5. Step 5: Solve for x
    x = 789,099.12/1,069.62
  6. Step 6: Final answer
    x = 737.74

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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.