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Finding the Fourth Proportional to 1,074.23, 1,610.49 and 489.50

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Solution

The fourth proportional to 1,074.23, 1,610.49 and 489.50 is: 733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.23 : 1,610.49 = 489.50 : x
  2. Step 2: Convert to fraction form
    1,074.23/1,610.49 = 489.50/x
  3. Step 3: Cross multiply
    1,074.23x = 1,610.49 × 489.50
  4. Step 4: Simplify right side
    1,074.23x = 788,334.86
  5. Step 5: Solve for x
    x = 788,334.86/1,074.23
  6. Step 6: Final answer
    x = 733.86

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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.