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Finding the Fourth Proportional to 1,305.08, 1,800.65 and 745.35

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Solution

The fourth proportional to 1,305.08, 1,800.65 and 745.35 is: 1,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.08 : 1,800.65 = 745.35 : x
  2. Step 2: Convert to fraction form
    1,305.08/1,800.65 = 745.35/x
  3. Step 3: Cross multiply
    1,305.08x = 1,800.65 × 745.35
  4. Step 4: Simplify right side
    1,305.08x = 1,342,105.47
  5. Step 5: Solve for x
    x = 1,342,105.47/1,305.08
  6. Step 6: Final answer
    x = 1,028.37

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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.