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Finding the Fourth Proportional to 896.16, 1,233.84 and 764.64

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Solution

The fourth proportional to 896.16, 1,233.84 and 764.64 is: 1,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.16 : 1,233.84 = 764.64 : x
  2. Step 2: Convert to fraction form
    896.16/1,233.84 = 764.64/x
  3. Step 3: Cross multiply
    896.16x = 1,233.84 × 764.64
  4. Step 4: Simplify right side
    896.16x = 943,443.42
  5. Step 5: Solve for x
    x = 943,443.42/896.16
  6. Step 6: Final answer
    x = 1,052.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.