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Finding the Fourth Proportional to 804.65, 1,109.98 and 489.97

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Solution

The fourth proportional to 804.65, 1,109.98 and 489.97 is: 675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.65 : 1,109.98 = 489.97 : x
  2. Step 2: Convert to fraction form
    804.65/1,109.98 = 489.97/x
  3. Step 3: Cross multiply
    804.65x = 1,109.98 × 489.97
  4. Step 4: Simplify right side
    804.65x = 543,856.90
  5. Step 5: Solve for x
    x = 543,856.90/804.65
  6. Step 6: Final answer
    x = 675.89

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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.