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Finding the Fourth Proportional to 1,299.67, 1,949.08 and 433.75

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Solution

The fourth proportional to 1,299.67, 1,949.08 and 433.75 is: 650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.67 : 1,949.08 = 433.75 : x
  2. Step 2: Convert to fraction form
    1,299.67/1,949.08 = 433.75/x
  3. Step 3: Cross multiply
    1,299.67x = 1,949.08 × 433.75
  4. Step 4: Simplify right side
    1,299.67x = 845,413.45
  5. Step 5: Solve for x
    x = 845,413.45/1,299.67
  6. Step 6: Final answer
    x = 650.48

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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.