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Finding the Fourth Proportional to 1,069.90, 1,606.23 and 826.60

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Solution

The fourth proportional to 1,069.90, 1,606.23 and 826.60 is: 1,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.90 : 1,606.23 = 826.60 : x
  2. Step 2: Convert to fraction form
    1,069.90/1,606.23 = 826.60/x
  3. Step 3: Cross multiply
    1,069.90x = 1,606.23 × 826.60
  4. Step 4: Simplify right side
    1,069.90x = 1,327,709.72
  5. Step 5: Solve for x
    x = 1,327,709.72/1,069.90
  6. Step 6: Final answer
    x = 1,240.97

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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.