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Finding the Fourth Proportional to 756.11, 1,134.60 and 409.45

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Solution

The fourth proportional to 756.11, 1,134.60 and 409.45 is: 614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.11 : 1,134.60 = 409.45 : x
  2. Step 2: Convert to fraction form
    756.11/1,134.60 = 409.45/x
  3. Step 3: Cross multiply
    756.11x = 1,134.60 × 409.45
  4. Step 4: Simplify right side
    756.11x = 464,561.97
  5. Step 5: Solve for x
    x = 464,561.97/756.11
  6. Step 6: Final answer
    x = 614.41

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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.