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Finding the Fourth Proportional to 896.00, 1,236.53 and 522.83

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Solution

The fourth proportional to 896.00, 1,236.53 and 522.83 is: 721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.00 : 1,236.53 = 522.83 : x
  2. Step 2: Convert to fraction form
    896.00/1,236.53 = 522.83/x
  3. Step 3: Cross multiply
    896.00x = 1,236.53 × 522.83
  4. Step 4: Simplify right side
    896.00x = 646,499.38
  5. Step 5: Solve for x
    x = 646,499.38/896.00
  6. Step 6: Final answer
    x = 721.54

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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.