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Finding the Fourth Proportional to 1,091.88, 1,638.09 and 971.06

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Solution

The fourth proportional to 1,091.88, 1,638.09 and 971.06 is: 1,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.88 : 1,638.09 = 971.06 : x
  2. Step 2: Convert to fraction form
    1,091.88/1,638.09 = 971.06/x
  3. Step 3: Cross multiply
    1,091.88x = 1,638.09 × 971.06
  4. Step 4: Simplify right side
    1,091.88x = 1,590,675.48
  5. Step 5: Solve for x
    x = 1,590,675.48/1,091.88
  6. Step 6: Final answer
    x = 1,456.82

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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.