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Finding the Fourth Proportional to 1,138.41, 1,570.68 and 696.42

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Solution

The fourth proportional to 1,138.41, 1,570.68 and 696.42 is: 960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.41 : 1,570.68 = 696.42 : x
  2. Step 2: Convert to fraction form
    1,138.41/1,570.68 = 696.42/x
  3. Step 3: Cross multiply
    1,138.41x = 1,570.68 × 696.42
  4. Step 4: Simplify right side
    1,138.41x = 1,093,852.97
  5. Step 5: Solve for x
    x = 1,093,852.97/1,138.41
  6. Step 6: Final answer
    x = 960.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.