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Finding the Fourth Proportional to 1,182.96, 1,773.96 and 413.28

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Solution

The fourth proportional to 1,182.96, 1,773.96 and 413.28 is: 619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.96 : 1,773.96 = 413.28 : x
  2. Step 2: Convert to fraction form
    1,182.96/1,773.96 = 413.28/x
  3. Step 3: Cross multiply
    1,182.96x = 1,773.96 × 413.28
  4. Step 4: Simplify right side
    1,182.96x = 733,142.19
  5. Step 5: Solve for x
    x = 733,142.19/1,182.96
  6. Step 6: Final answer
    x = 619.75

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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.