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Finding the Fourth Proportional to 1,138.36, 1,707.68 and 851.64

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Solution

The fourth proportional to 1,138.36, 1,707.68 and 851.64 is: 1,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.36 : 1,707.68 = 851.64 : x
  2. Step 2: Convert to fraction form
    1,138.36/1,707.68 = 851.64/x
  3. Step 3: Cross multiply
    1,138.36x = 1,707.68 × 851.64
  4. Step 4: Simplify right side
    1,138.36x = 1,454,328.60
  5. Step 5: Solve for x
    x = 1,454,328.60/1,138.36
  6. Step 6: Final answer
    x = 1,277.56

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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.