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Finding the Fourth Proportional to 1,143.69, 1,718.90 and 949.94

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Solution

The fourth proportional to 1,143.69, 1,718.90 and 949.94 is: 1,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.69 : 1,718.90 = 949.94 : x
  2. Step 2: Convert to fraction form
    1,143.69/1,718.90 = 949.94/x
  3. Step 3: Cross multiply
    1,143.69x = 1,718.90 × 949.94
  4. Step 4: Simplify right side
    1,143.69x = 1,632,838.52
  5. Step 5: Solve for x
    x = 1,632,838.52/1,143.69
  6. Step 6: Final answer
    x = 1,427.69

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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.