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Finding the Fourth Proportional to 1,342.86, 1,853.21 and 745.41

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Solution

The fourth proportional to 1,342.86, 1,853.21 and 745.41 is: 1,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.86 : 1,853.21 = 745.41 : x
  2. Step 2: Convert to fraction form
    1,342.86/1,853.21 = 745.41/x
  3. Step 3: Cross multiply
    1,342.86x = 1,853.21 × 745.41
  4. Step 4: Simplify right side
    1,342.86x = 1,381,401.27
  5. Step 5: Solve for x
    x = 1,381,401.27/1,342.86
  6. Step 6: Final answer
    x = 1,028.70

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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.