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Finding the Fourth Proportional to 927.04, 1,389.48 and 413.68

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Solution

The fourth proportional to 927.04, 1,389.48 and 413.68 is: 620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.04 : 1,389.48 = 413.68 : x
  2. Step 2: Convert to fraction form
    927.04/1,389.48 = 413.68/x
  3. Step 3: Cross multiply
    927.04x = 1,389.48 × 413.68
  4. Step 4: Simplify right side
    927.04x = 574,800.09
  5. Step 5: Solve for x
    x = 574,800.09/927.04
  6. Step 6: Final answer
    x = 620.04

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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.