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Finding the Fourth Proportional to 812.38, 1,218.75 and 446.98

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Solution

The fourth proportional to 812.38, 1,218.75 and 446.98 is: 670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.38 : 1,218.75 = 446.98 : x
  2. Step 2: Convert to fraction form
    812.38/1,218.75 = 446.98/x
  3. Step 3: Cross multiply
    812.38x = 1,218.75 × 446.98
  4. Step 4: Simplify right side
    812.38x = 544,756.88
  5. Step 5: Solve for x
    x = 544,756.88/812.38
  6. Step 6: Final answer
    x = 670.57

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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.