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Finding the Fourth Proportional to 1,092.06, 1,637.82 and 442.44

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Solution

The fourth proportional to 1,092.06, 1,637.82 and 442.44 is: 663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.06 : 1,637.82 = 442.44 : x
  2. Step 2: Convert to fraction form
    1,092.06/1,637.82 = 442.44/x
  3. Step 3: Cross multiply
    1,092.06x = 1,637.82 × 442.44
  4. Step 4: Simplify right side
    1,092.06x = 724,637.08
  5. Step 5: Solve for x
    x = 724,637.08/1,092.06
  6. Step 6: Final answer
    x = 663.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.