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Finding the Fourth Proportional to 941.63, 1,413.31 and 479.74

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Solution

The fourth proportional to 941.63, 1,413.31 and 479.74 is: 720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.63 : 1,413.31 = 479.74 : x
  2. Step 2: Convert to fraction form
    941.63/1,413.31 = 479.74/x
  3. Step 3: Cross multiply
    941.63x = 1,413.31 × 479.74
  4. Step 4: Simplify right side
    941.63x = 678,021.34
  5. Step 5: Solve for x
    x = 678,021.34/941.63
  6. Step 6: Final answer
    x = 720.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.