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Finding the Fourth Proportional to 908, 1,355.80 and 745.28

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Solution

The fourth proportional to 908, 1,355.80 and 745.28 is: 1,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    908 : 1,355.80 = 745.28 : x
  2. Step 2: Convert to fraction form
    908/1,355.80 = 745.28/x
  3. Step 3: Cross multiply
    908x = 1,355.80 × 745.28
  4. Step 4: Simplify right side
    908x = 1,010,450.62
  5. Step 5: Solve for x
    x = 1,010,450.62/908
  6. Step 6: Final answer
    x = 1,112.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.