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Finding the Fourth Proportional to 1,334.96, 1,842.17 and 745.48

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Solution

The fourth proportional to 1,334.96, 1,842.17 and 745.48 is: 1,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.96 : 1,842.17 = 745.48 : x
  2. Step 2: Convert to fraction form
    1,334.96/1,842.17 = 745.48/x
  3. Step 3: Cross multiply
    1,334.96x = 1,842.17 × 745.48
  4. Step 4: Simplify right side
    1,334.96x = 1,373,300.89
  5. Step 5: Solve for x
    x = 1,373,300.89/1,334.96
  6. Step 6: Final answer
    x = 1,028.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.