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Finding the Fourth Proportional to 1,705.96, 2,559.75 and 884.08

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Solution

The fourth proportional to 1,705.96, 2,559.75 and 884.08 is: 1,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.96 : 2,559.75 = 884.08 : x
  2. Step 2: Convert to fraction form
    1,705.96/2,559.75 = 884.08/x
  3. Step 3: Cross multiply
    1,705.96x = 2,559.75 × 884.08
  4. Step 4: Simplify right side
    1,705.96x = 2,263,023.78
  5. Step 5: Solve for x
    x = 2,263,023.78/1,705.96
  6. Step 6: Final answer
    x = 1,326.54

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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.