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Finding the Fourth Proportional to 826.44, 1,233.99 and 704.64

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Solution

The fourth proportional to 826.44, 1,233.99 and 704.64 is: 1,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.44 : 1,233.99 = 704.64 : x
  2. Step 2: Convert to fraction form
    826.44/1,233.99 = 704.64/x
  3. Step 3: Cross multiply
    826.44x = 1,233.99 × 704.64
  4. Step 4: Simplify right side
    826.44x = 869,518.71
  5. Step 5: Solve for x
    x = 869,518.71/826.44
  6. Step 6: Final answer
    x = 1,052.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.