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Finding the Fourth Proportional to 1,143.33, 1,716.81 and 865.71

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Solution

The fourth proportional to 1,143.33, 1,716.81 and 865.71 is: 1,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.33 : 1,716.81 = 865.71 : x
  2. Step 2: Convert to fraction form
    1,143.33/1,716.81 = 865.71/x
  3. Step 3: Cross multiply
    1,143.33x = 1,716.81 × 865.71
  4. Step 4: Simplify right side
    1,143.33x = 1,486,259.59
  5. Step 5: Solve for x
    x = 1,486,259.59/1,143.33
  6. Step 6: Final answer
    x = 1,299.94

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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.