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Finding the Fourth Proportional to 942.26, 1,413.68 and 455.22

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Solution

The fourth proportional to 942.26, 1,413.68 and 455.22 is: 682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.26 : 1,413.68 = 455.22 : x
  2. Step 2: Convert to fraction form
    942.26/1,413.68 = 455.22/x
  3. Step 3: Cross multiply
    942.26x = 1,413.68 × 455.22
  4. Step 4: Simplify right side
    942.26x = 643,533.13
  5. Step 5: Solve for x
    x = 643,533.13/942.26
  6. Step 6: Final answer
    x = 682.97

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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.