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Finding the Fourth Proportional to 1,305.51, 1,958.26 and 871.75

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Solution

The fourth proportional to 1,305.51, 1,958.26 and 871.75 is: 1,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.51 : 1,958.26 = 871.75 : x
  2. Step 2: Convert to fraction form
    1,305.51/1,958.26 = 871.75/x
  3. Step 3: Cross multiply
    1,305.51x = 1,958.26 × 871.75
  4. Step 4: Simplify right side
    1,305.51x = 1,707,113.16
  5. Step 5: Solve for x
    x = 1,707,113.16/1,305.51
  6. Step 6: Final answer
    x = 1,307.62

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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.