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Finding the Fourth Proportional to 1,292.63, 1,939.75 and 745.07

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Solution

The fourth proportional to 1,292.63, 1,939.75 and 745.07 is: 1,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.63 : 1,939.75 = 745.07 : x
  2. Step 2: Convert to fraction form
    1,292.63/1,939.75 = 745.07/x
  3. Step 3: Cross multiply
    1,292.63x = 1,939.75 × 745.07
  4. Step 4: Simplify right side
    1,292.63x = 1,445,237.97
  5. Step 5: Solve for x
    x = 1,445,237.97/1,292.63
  6. Step 6: Final answer
    x = 1,118.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.