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Finding the Fourth Proportional to 1,234.65, 1,852.27 and 413.02

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Solution

The fourth proportional to 1,234.65, 1,852.27 and 413.02 is: 619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.65 : 1,852.27 = 413.02 : x
  2. Step 2: Convert to fraction form
    1,234.65/1,852.27 = 413.02/x
  3. Step 3: Cross multiply
    1,234.65x = 1,852.27 × 413.02
  4. Step 4: Simplify right side
    1,234.65x = 765,018.89
  5. Step 5: Solve for x
    x = 765,018.89/1,234.65
  6. Step 6: Final answer
    x = 619.62

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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.