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Finding the Fourth Proportional to 1,211.64, 1,671.66 and 745.80

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Solution

The fourth proportional to 1,211.64, 1,671.66 and 745.80 is: 1,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.64 : 1,671.66 = 745.80 : x
  2. Step 2: Convert to fraction form
    1,211.64/1,671.66 = 745.80/x
  3. Step 3: Cross multiply
    1,211.64x = 1,671.66 × 745.80
  4. Step 4: Simplify right side
    1,211.64x = 1,246,724.03
  5. Step 5: Solve for x
    x = 1,246,724.03/1,211.64
  6. Step 6: Final answer
    x = 1,028.96

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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.