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Finding the Fourth Proportional to 1,138.26, 1,707.36 and 489.42

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Solution

The fourth proportional to 1,138.26, 1,707.36 and 489.42 is: 734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.26 : 1,707.36 = 489.42 : x
  2. Step 2: Convert to fraction form
    1,138.26/1,707.36 = 489.42/x
  3. Step 3: Cross multiply
    1,138.26x = 1,707.36 × 489.42
  4. Step 4: Simplify right side
    1,138.26x = 835,616.13
  5. Step 5: Solve for x
    x = 835,616.13/1,138.26
  6. Step 6: Final answer
    x = 734.12

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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.