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Finding the Fourth Proportional to 804.48, 1,110.22 and 489.69

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Solution

The fourth proportional to 804.48, 1,110.22 and 489.69 is: 675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.48 : 1,110.22 = 489.69 : x
  2. Step 2: Convert to fraction form
    804.48/1,110.22 = 489.69/x
  3. Step 3: Cross multiply
    804.48x = 1,110.22 × 489.69
  4. Step 4: Simplify right side
    804.48x = 543,661.63
  5. Step 5: Solve for x
    x = 543,661.63/804.48
  6. Step 6: Final answer
    x = 675.80

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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.