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Finding the Fourth Proportional to 755.76, 1,133.81 and 409.08

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Solution

The fourth proportional to 755.76, 1,133.81 and 409.08 is: 613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.76 : 1,133.81 = 409.08 : x
  2. Step 2: Convert to fraction form
    755.76/1,133.81 = 409.08/x
  3. Step 3: Cross multiply
    755.76x = 1,133.81 × 409.08
  4. Step 4: Simplify right side
    755.76x = 463,818.99
  5. Step 5: Solve for x
    x = 463,818.99/755.76
  6. Step 6: Final answer
    x = 613.71

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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.