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Finding the Fourth Proportional to 1,705.05, 2,558.97 and 883.57

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Solution

The fourth proportional to 1,705.05, 2,558.97 and 883.57 is: 1,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.05 : 2,558.97 = 883.57 : x
  2. Step 2: Convert to fraction form
    1,705.05/2,558.97 = 883.57/x
  3. Step 3: Cross multiply
    1,705.05x = 2,558.97 × 883.57
  4. Step 4: Simplify right side
    1,705.05x = 2,261,029.12
  5. Step 5: Solve for x
    x = 2,261,029.12/1,705.05
  6. Step 6: Final answer
    x = 1,326.08

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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.