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Finding the Fourth Proportional to 756.01, 1,134.49 and 409.58

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Solution

The fourth proportional to 756.01, 1,134.49 and 409.58 is: 614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.01 : 1,134.49 = 409.58 : x
  2. Step 2: Convert to fraction form
    756.01/1,134.49 = 409.58/x
  3. Step 3: Cross multiply
    756.01x = 1,134.49 × 409.58
  4. Step 4: Simplify right side
    756.01x = 464,668.27
  5. Step 5: Solve for x
    x = 464,668.27/756.01
  6. Step 6: Final answer
    x = 614.63

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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.