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Finding the Fourth Proportional to 1,226.34, 1,840.19 and 523.49

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Solution

The fourth proportional to 1,226.34, 1,840.19 and 523.49 is: 785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.34 : 1,840.19 = 523.49 : x
  2. Step 2: Convert to fraction form
    1,226.34/1,840.19 = 523.49/x
  3. Step 3: Cross multiply
    1,226.34x = 1,840.19 × 523.49
  4. Step 4: Simplify right side
    1,226.34x = 963,309.24
  5. Step 5: Solve for x
    x = 963,309.24/1,226.34
  6. Step 6: Final answer
    x = 785.52

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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.