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Finding the Fourth Proportional to 754.03, 1,040.41 and 505.67

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Solution

The fourth proportional to 754.03, 1,040.41 and 505.67 is: 697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.03 : 1,040.41 = 505.67 : x
  2. Step 2: Convert to fraction form
    754.03/1,040.41 = 505.67/x
  3. Step 3: Cross multiply
    754.03x = 1,040.41 × 505.67
  4. Step 4: Simplify right side
    754.03x = 526,096.39
  5. Step 5: Solve for x
    x = 526,096.39/754.03
  6. Step 6: Final answer
    x = 697.71

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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.