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Finding the Fourth Proportional to 1,234.23, 1,850.80 and 464.19

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Solution

The fourth proportional to 1,234.23, 1,850.80 and 464.19 is: 696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.23 : 1,850.80 = 464.19 : x
  2. Step 2: Convert to fraction form
    1,234.23/1,850.80 = 464.19/x
  3. Step 3: Cross multiply
    1,234.23x = 1,850.80 × 464.19
  4. Step 4: Simplify right side
    1,234.23x = 859,120.53
  5. Step 5: Solve for x
    x = 859,120.53/1,234.23
  6. Step 6: Final answer
    x = 696.08

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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.