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Finding the Fourth Proportional to 1,136.36, 1,703.46 and 724.34

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Solution

The fourth proportional to 1,136.36, 1,703.46 and 724.34 is: 1,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.36 : 1,703.46 = 724.34 : x
  2. Step 2: Convert to fraction form
    1,136.36/1,703.46 = 724.34/x
  3. Step 3: Cross multiply
    1,136.36x = 1,703.46 × 724.34
  4. Step 4: Simplify right side
    1,136.36x = 1,233,884.22
  5. Step 5: Solve for x
    x = 1,233,884.22/1,136.36
  6. Step 6: Final answer
    x = 1,085.82

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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.