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Finding the Fourth Proportional to 755.75, 1,133.35 and 262.02

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Solution

The fourth proportional to 755.75, 1,133.35 and 262.02 is: 392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.75 : 1,133.35 = 262.02 : x
  2. Step 2: Convert to fraction form
    755.75/1,133.35 = 262.02/x
  3. Step 3: Cross multiply
    755.75x = 1,133.35 × 262.02
  4. Step 4: Simplify right side
    755.75x = 296,959.06
  5. Step 5: Solve for x
    x = 296,959.06/755.75
  6. Step 6: Final answer
    x = 392.94

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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.