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Finding the Fourth Proportional to 896.34, 1,237.08 and 674.94

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Solution

The fourth proportional to 896.34, 1,237.08 and 674.94 is: 931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.34 : 1,237.08 = 674.94 : x
  2. Step 2: Convert to fraction form
    896.34/1,237.08 = 674.94/x
  3. Step 3: Cross multiply
    896.34x = 1,237.08 × 674.94
  4. Step 4: Simplify right side
    896.34x = 834,954.78
  5. Step 5: Solve for x
    x = 834,954.78/896.34
  6. Step 6: Final answer
    x = 931.52

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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.