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Finding the Fourth Proportional to 651.06, 975.89 and 445.57

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Solution

The fourth proportional to 651.06, 975.89 and 445.57 is: 667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.06 : 975.89 = 445.57 : x
  2. Step 2: Convert to fraction form
    651.06/975.89 = 445.57/x
  3. Step 3: Cross multiply
    651.06x = 975.89 × 445.57
  4. Step 4: Simplify right side
    651.06x = 434,822.43
  5. Step 5: Solve for x
    x = 434,822.43/651.06
  6. Step 6: Final answer
    x = 667.87

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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.