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Finding the Fourth Proportional to 1,252.06, 1,723.07 and 971.19

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Solution

The fourth proportional to 1,252.06, 1,723.07 and 971.19 is: 1,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.06 : 1,723.07 = 971.19 : x
  2. Step 2: Convert to fraction form
    1,252.06/1,723.07 = 971.19/x
  3. Step 3: Cross multiply
    1,252.06x = 1,723.07 × 971.19
  4. Step 4: Simplify right side
    1,252.06x = 1,673,430.78
  5. Step 5: Solve for x
    x = 1,673,430.78/1,252.06
  6. Step 6: Final answer
    x = 1,336.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.