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Finding the Fourth Proportional to 1,234.88, 1,852.16 and 413.12

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Solution

The fourth proportional to 1,234.88, 1,852.16 and 413.12 is: 619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.88 : 1,852.16 = 413.12 : x
  2. Step 2: Convert to fraction form
    1,234.88/1,852.16 = 413.12/x
  3. Step 3: Cross multiply
    1,234.88x = 1,852.16 × 413.12
  4. Step 4: Simplify right side
    1,234.88x = 765,164.34
  5. Step 5: Solve for x
    x = 765,164.34/1,234.88
  6. Step 6: Final answer
    x = 619.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.