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Finding the Fourth Proportional to 1,234.17, 1,851.63 and 413.00

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Solution

The fourth proportional to 1,234.17, 1,851.63 and 413.00 is: 619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.17 : 1,851.63 = 413.00 : x
  2. Step 2: Convert to fraction form
    1,234.17/1,851.63 = 413.00/x
  3. Step 3: Cross multiply
    1,234.17x = 1,851.63 × 413.00
  4. Step 4: Simplify right side
    1,234.17x = 764,719.33
  5. Step 5: Solve for x
    x = 764,719.33/1,234.17
  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.