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Finding the Fourth Proportional to 1,136.64, 1,568.96 and 838.23

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Solution

The fourth proportional to 1,136.64, 1,568.96 and 838.23 is: 1,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.64 : 1,568.96 = 838.23 : x
  2. Step 2: Convert to fraction form
    1,136.64/1,568.96 = 838.23/x
  3. Step 3: Cross multiply
    1,136.64x = 1,568.96 × 838.23
  4. Step 4: Simplify right side
    1,136.64x = 1,315,149.34
  5. Step 5: Solve for x
    x = 1,315,149.34/1,136.64
  6. Step 6: Final answer
    x = 1,157.05

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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.