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Finding the Fourth Proportional to 1,143.83, 1,718.96 and 681.69

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Solution

The fourth proportional to 1,143.83, 1,718.96 and 681.69 is: 1,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.83 : 1,718.96 = 681.69 : x
  2. Step 2: Convert to fraction form
    1,143.83/1,718.96 = 681.69/x
  3. Step 3: Cross multiply
    1,143.83x = 1,718.96 × 681.69
  4. Step 4: Simplify right side
    1,143.83x = 1,171,794.43
  5. Step 5: Solve for x
    x = 1,171,794.43/1,143.83
  6. Step 6: Final answer
    x = 1,024.45

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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.