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Finding the Fourth Proportional to 1,104.90, 1,657.93 and 489.03

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Solution

The fourth proportional to 1,104.90, 1,657.93 and 489.03 is: 733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.90 : 1,657.93 = 489.03 : x
  2. Step 2: Convert to fraction form
    1,104.90/1,657.93 = 489.03/x
  3. Step 3: Cross multiply
    1,104.90x = 1,657.93 × 489.03
  4. Step 4: Simplify right side
    1,104.90x = 810,777.51
  5. Step 5: Solve for x
    x = 810,777.51/1,104.90
  6. Step 6: Final answer
    x = 733.80

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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.