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Finding the Fourth Proportional to 1,219.57, 1,829.96 and 489.65

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Solution

The fourth proportional to 1,219.57, 1,829.96 and 489.65 is: 734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.57 : 1,829.96 = 489.65 : x
  2. Step 2: Convert to fraction form
    1,219.57/1,829.96 = 489.65/x
  3. Step 3: Cross multiply
    1,219.57x = 1,829.96 × 489.65
  4. Step 4: Simplify right side
    1,219.57x = 896,039.91
  5. Step 5: Solve for x
    x = 896,039.91/1,219.57
  6. Step 6: Final answer
    x = 734.72

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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.