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Finding the Fourth Proportional to 1,143.81, 1,578.01 and 745.94

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Solution

The fourth proportional to 1,143.81, 1,578.01 and 745.94 is: 1,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.81 : 1,578.01 = 745.94 : x
  2. Step 2: Convert to fraction form
    1,143.81/1,578.01 = 745.94/x
  3. Step 3: Cross multiply
    1,143.81x = 1,578.01 × 745.94
  4. Step 4: Simplify right side
    1,143.81x = 1,177,098.65
  5. Step 5: Solve for x
    x = 1,177,098.65/1,143.81
  6. Step 6: Final answer
    x = 1,029.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.