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Finding the Fourth Proportional to 896.22, 1,234.80 and 739.35

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Solution

The fourth proportional to 896.22, 1,234.80 and 739.35 is: 1,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.22 : 1,234.80 = 739.35 : x
  2. Step 2: Convert to fraction form
    896.22/1,234.80 = 739.35/x
  3. Step 3: Cross multiply
    896.22x = 1,234.80 × 739.35
  4. Step 4: Simplify right side
    896.22x = 912,949.38
  5. Step 5: Solve for x
    x = 912,949.38/896.22
  6. Step 6: Final answer
    x = 1,018.67

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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.