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Finding the Fourth Proportional to 1,220, 1,830.23 and 489.63

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Solution

The fourth proportional to 1,220, 1,830.23 and 489.63 is: 734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220 : 1,830.23 = 489.63 : x
  2. Step 2: Convert to fraction form
    1,220/1,830.23 = 489.63/x
  3. Step 3: Cross multiply
    1,220x = 1,830.23 × 489.63
  4. Step 4: Simplify right side
    1,220x = 896,142.99
  5. Step 5: Solve for x
    x = 896,142.99/1,220
  6. Step 6: Final answer
    x = 734.54

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