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Finding the Fourth Proportional to 1,217.80, 1,680.30 and 745.60

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Solution

The fourth proportional to 1,217.80, 1,680.30 and 745.60 is: 1,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.80 : 1,680.30 = 745.60 : x
  2. Step 2: Convert to fraction form
    1,217.80/1,680.30 = 745.60/x
  3. Step 3: Cross multiply
    1,217.80x = 1,680.30 × 745.60
  4. Step 4: Simplify right side
    1,217.80x = 1,252,831.68
  5. Step 5: Solve for x
    x = 1,252,831.68/1,217.80
  6. Step 6: Final answer
    x = 1,028.77

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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.