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Finding the Fourth Proportional to 1,269.29, 1,751.81 and 745.34

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Solution

The fourth proportional to 1,269.29, 1,751.81 and 745.34 is: 1,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.29 : 1,751.81 = 745.34 : x
  2. Step 2: Convert to fraction form
    1,269.29/1,751.81 = 745.34/x
  3. Step 3: Cross multiply
    1,269.29x = 1,751.81 × 745.34
  4. Step 4: Simplify right side
    1,269.29x = 1,305,681.58
  5. Step 5: Solve for x
    x = 1,305,681.58/1,269.29
  6. Step 6: Final answer
    x = 1,028.67

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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.