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Finding the Fourth Proportional to 1,219.25, 1,829.91 and 489.32

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Solution

The fourth proportional to 1,219.25, 1,829.91 and 489.32 is: 734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.25 : 1,829.91 = 489.32 : x
  2. Step 2: Convert to fraction form
    1,219.25/1,829.91 = 489.32/x
  3. Step 3: Cross multiply
    1,219.25x = 1,829.91 × 489.32
  4. Step 4: Simplify right side
    1,219.25x = 895,411.56
  5. Step 5: Solve for x
    x = 895,411.56/1,219.25
  6. Step 6: Final answer
    x = 734.40

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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.