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Finding the Fourth Proportional to 1,220.17, 1,829.98 and 489.55

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Solution

The fourth proportional to 1,220.17, 1,829.98 and 489.55 is: 734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.17 : 1,829.98 = 489.55 : x
  2. Step 2: Convert to fraction form
    1,220.17/1,829.98 = 489.55/x
  3. Step 3: Cross multiply
    1,220.17x = 1,829.98 × 489.55
  4. Step 4: Simplify right side
    1,220.17x = 895,866.71
  5. Step 5: Solve for x
    x = 895,866.71/1,220.17
  6. Step 6: Final answer
    x = 734.21

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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.