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Finding the Fourth Proportional to 942.33, 1,413.64 and 455.41

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Solution

The fourth proportional to 942.33, 1,413.64 and 455.41 is: 683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.33 : 1,413.64 = 455.41 : x
  2. Step 2: Convert to fraction form
    942.33/1,413.64 = 455.41/x
  3. Step 3: Cross multiply
    942.33x = 1,413.64 × 455.41
  4. Step 4: Simplify right side
    942.33x = 643,783.52
  5. Step 5: Solve for x
    x = 643,783.52/942.33
  6. Step 6: Final answer
    x = 683.19

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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.