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Finding the Fourth Proportional to 756.14, 1,134.41 and 409.76

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Solution

The fourth proportional to 756.14, 1,134.41 and 409.76 is: 614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.14 : 1,134.41 = 409.76 : x
  2. Step 2: Convert to fraction form
    756.14/1,134.41 = 409.76/x
  3. Step 3: Cross multiply
    756.14x = 1,134.41 × 409.76
  4. Step 4: Simplify right side
    756.14x = 464,832.37
  5. Step 5: Solve for x
    x = 464,832.37/756.14
  6. Step 6: Final answer
    x = 614.75

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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.