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Finding the Fourth Proportional to 1,178.49, 1,768.53 and 408.99

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Solution

The fourth proportional to 1,178.49, 1,768.53 and 408.99 is: 613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.49 : 1,768.53 = 408.99 : x
  2. Step 2: Convert to fraction form
    1,178.49/1,768.53 = 408.99/x
  3. Step 3: Cross multiply
    1,178.49x = 1,768.53 × 408.99
  4. Step 4: Simplify right side
    1,178.49x = 723,311.08
  5. Step 5: Solve for x
    x = 723,311.08/1,178.49
  6. Step 6: Final answer
    x = 613.76

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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.