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Finding the Fourth Proportional to 1,343.03, 1,853.48 and 745.57

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Solution

The fourth proportional to 1,343.03, 1,853.48 and 745.57 is: 1,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.03 : 1,853.48 = 745.57 : x
  2. Step 2: Convert to fraction form
    1,343.03/1,853.48 = 745.57/x
  3. Step 3: Cross multiply
    1,343.03x = 1,853.48 × 745.57
  4. Step 4: Simplify right side
    1,343.03x = 1,381,899.08
  5. Step 5: Solve for x
    x = 1,381,899.08/1,343.03
  6. Step 6: Final answer
    x = 1,028.94

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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.