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Finding the Fourth Proportional to 1,092.98, 1,507.92 and 620.82

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Solution

The fourth proportional to 1,092.98, 1,507.92 and 620.82 is: 856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.98 : 1,507.92 = 620.82 : x
  2. Step 2: Convert to fraction form
    1,092.98/1,507.92 = 620.82/x
  3. Step 3: Cross multiply
    1,092.98x = 1,507.92 × 620.82
  4. Step 4: Simplify right side
    1,092.98x = 936,146.89
  5. Step 5: Solve for x
    x = 936,146.89/1,092.98
  6. Step 6: Final answer
    x = 856.51

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