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Finding the Fourth Proportional to 1,138.36, 1,706.30 and 489.48

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Solution

The fourth proportional to 1,138.36, 1,706.30 and 489.48 is: 733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.36 : 1,706.30 = 489.48 : x
  2. Step 2: Convert to fraction form
    1,138.36/1,706.30 = 489.48/x
  3. Step 3: Cross multiply
    1,138.36x = 1,706.30 × 489.48
  4. Step 4: Simplify right side
    1,138.36x = 835,199.72
  5. Step 5: Solve for x
    x = 835,199.72/1,138.36
  6. Step 6: Final answer
    x = 733.69

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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.