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Finding the Fourth Proportional to 1,219.55, 1,829.51 and 489.11

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Solution

The fourth proportional to 1,219.55, 1,829.51 and 489.11 is: 733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.55 : 1,829.51 = 489.11 : x
  2. Step 2: Convert to fraction form
    1,219.55/1,829.51 = 489.11/x
  3. Step 3: Cross multiply
    1,219.55x = 1,829.51 × 489.11
  4. Step 4: Simplify right side
    1,219.55x = 894,829.19
  5. Step 5: Solve for x
    x = 894,829.19/1,219.55
  6. Step 6: Final answer
    x = 733.74

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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.