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Finding the Fourth Proportional to 1,234.74, 1,852.11 and 413.01

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Solution

The fourth proportional to 1,234.74, 1,852.11 and 413.01 is: 619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.74 : 1,852.11 = 413.01 : x
  2. Step 2: Convert to fraction form
    1,234.74/1,852.11 = 413.01/x
  3. Step 3: Cross multiply
    1,234.74x = 1,852.11 × 413.01
  4. Step 4: Simplify right side
    1,234.74x = 764,939.95
  5. Step 5: Solve for x
    x = 764,939.95/1,234.74
  6. Step 6: Final answer
    x = 619.52

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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.