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Finding the Fourth Proportional to 900.26, 1,349.22 and 489.50

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Solution

The fourth proportional to 900.26, 1,349.22 and 489.50 is: 733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.26 : 1,349.22 = 489.50 : x
  2. Step 2: Convert to fraction form
    900.26/1,349.22 = 489.50/x
  3. Step 3: Cross multiply
    900.26x = 1,349.22 × 489.50
  4. Step 4: Simplify right side
    900.26x = 660,443.19
  5. Step 5: Solve for x
    x = 660,443.19/900.26
  6. Step 6: Final answer
    x = 733.61

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Why These Related Problems?

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