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Finding the Fourth Proportional to 1,011.14, 1,395.82 and 745.12

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Solution

The fourth proportional to 1,011.14, 1,395.82 and 745.12 is: 1,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.14 : 1,395.82 = 745.12 : x
  2. Step 2: Convert to fraction form
    1,011.14/1,395.82 = 745.12/x
  3. Step 3: Cross multiply
    1,011.14x = 1,395.82 × 745.12
  4. Step 4: Simplify right side
    1,011.14x = 1,040,053.40
  5. Step 5: Solve for x
    x = 1,040,053.40/1,011.14
  6. Step 6: Final answer
    x = 1,028.59

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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.