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Finding the Fourth Proportional to 800.25, 1,104.35 and 489.75

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Solution

The fourth proportional to 800.25, 1,104.35 and 489.75 is: 675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.25 : 1,104.35 = 489.75 : x
  2. Step 2: Convert to fraction form
    800.25/1,104.35 = 489.75/x
  3. Step 3: Cross multiply
    800.25x = 1,104.35 × 489.75
  4. Step 4: Simplify right side
    800.25x = 540,852.96
  5. Step 5: Solve for x
    x = 540,852.96/800.25
  6. Step 6: Final answer
    x = 675.86

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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.