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Finding the Fourth Proportional to 657.70, 986.55 and 451.15

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Solution

The fourth proportional to 657.70, 986.55 and 451.15 is: 676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.70 : 986.55 = 451.15 : x
  2. Step 2: Convert to fraction form
    657.70/986.55 = 451.15/x
  3. Step 3: Cross multiply
    657.70x = 986.55 × 451.15
  4. Step 4: Simplify right side
    657.70x = 445,082.03
  5. Step 5: Solve for x
    x = 445,082.03/657.70
  6. Step 6: Final answer
    x = 676.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.