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Finding the Fourth Proportional to 800.12, 1,104.18 and 489.80

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Solution

The fourth proportional to 800.12, 1,104.18 and 489.80 is: 675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.12 : 1,104.18 = 489.80 : x
  2. Step 2: Convert to fraction form
    800.12/1,104.18 = 489.80/x
  3. Step 3: Cross multiply
    800.12x = 1,104.18 × 489.80
  4. Step 4: Simplify right side
    800.12x = 540,827.36
  5. Step 5: Solve for x
    x = 540,827.36/800.12
  6. Step 6: Final answer
    x = 675.93

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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.