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Finding the Fourth Proportional to 1,072.74, 1,480.45 and 600.67

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Solution

The fourth proportional to 1,072.74, 1,480.45 and 600.67 is: 828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.74 : 1,480.45 = 600.67 : x
  2. Step 2: Convert to fraction form
    1,072.74/1,480.45 = 600.67/x
  3. Step 3: Cross multiply
    1,072.74x = 1,480.45 × 600.67
  4. Step 4: Simplify right side
    1,072.74x = 889,258.90
  5. Step 5: Solve for x
    x = 889,258.90/1,072.74
  6. Step 6: Final answer
    x = 828.96

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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.