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Finding the Fourth Proportional to 1,136.64, 1,570.07 and 843.42

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Solution

The fourth proportional to 1,136.64, 1,570.07 and 843.42 is: 1,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.64 : 1,570.07 = 843.42 : x
  2. Step 2: Convert to fraction form
    1,136.64/1,570.07 = 843.42/x
  3. Step 3: Cross multiply
    1,136.64x = 1,570.07 × 843.42
  4. Step 4: Simplify right side
    1,136.64x = 1,324,228.44
  5. Step 5: Solve for x
    x = 1,324,228.44/1,136.64
  6. Step 6: Final answer
    x = 1,165.04

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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.