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Finding the Fourth Proportional to 896.42, 1,343.06 and 549.67

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Solution

The fourth proportional to 896.42, 1,343.06 and 549.67 is: 823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.42 : 1,343.06 = 549.67 : x
  2. Step 2: Convert to fraction form
    896.42/1,343.06 = 549.67/x
  3. Step 3: Cross multiply
    896.42x = 1,343.06 × 549.67
  4. Step 4: Simplify right side
    896.42x = 738,239.79
  5. Step 5: Solve for x
    x = 738,239.79/896.42
  6. Step 6: Final answer
    x = 823.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.