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Finding the Fourth Proportional to 1,226.85, 1,840.47 and 446.82

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Solution

The fourth proportional to 1,226.85, 1,840.47 and 446.82 is: 670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.85 : 1,840.47 = 446.82 : x
  2. Step 2: Convert to fraction form
    1,226.85/1,840.47 = 446.82/x
  3. Step 3: Cross multiply
    1,226.85x = 1,840.47 × 446.82
  4. Step 4: Simplify right side
    1,226.85x = 822,358.81
  5. Step 5: Solve for x
    x = 822,358.81/1,226.85
  6. Step 6: Final answer
    x = 670.30

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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.