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Finding the Fourth Proportional to 1,170, 1,613.97 and 786.83

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Solution

The fourth proportional to 1,170, 1,613.97 and 786.83 is: 1,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170 : 1,613.97 = 786.83 : x
  2. Step 2: Convert to fraction form
    1,170/1,613.97 = 786.83/x
  3. Step 3: Cross multiply
    1,170x = 1,613.97 × 786.83
  4. Step 4: Simplify right side
    1,170x = 1,269,911.95
  5. Step 5: Solve for x
    x = 1,269,911.95/1,170
  6. Step 6: Final answer
    x = 1,085.39

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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.