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Finding the Fourth Proportional to 1,138.93, 1,709.06 and 480.77

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Solution

The fourth proportional to 1,138.93, 1,709.06 and 480.77 is: 721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.93 : 1,709.06 = 480.77 : x
  2. Step 2: Convert to fraction form
    1,138.93/1,709.06 = 480.77/x
  3. Step 3: Cross multiply
    1,138.93x = 1,709.06 × 480.77
  4. Step 4: Simplify right side
    1,138.93x = 821,653.83
  5. Step 5: Solve for x
    x = 821,653.83/1,138.93
  6. Step 6: Final answer
    x = 721.43

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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.