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Finding the Fourth Proportional to 755.58, 1,133.43 and 200.30

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Solution

The fourth proportional to 755.58, 1,133.43 and 200.30 is: 300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.58 : 1,133.43 = 200.30 : x
  2. Step 2: Convert to fraction form
    755.58/1,133.43 = 200.30/x
  3. Step 3: Cross multiply
    755.58x = 1,133.43 × 200.30
  4. Step 4: Simplify right side
    755.58x = 227,020.36
  5. Step 5: Solve for x
    x = 227,020.36/755.58
  6. Step 6: Final answer
    x = 300.46

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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.