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Finding the Fourth Proportional to 985.93, 1,479.56 and 408.80

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Solution

The fourth proportional to 985.93, 1,479.56 and 408.80 is: 613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.93 : 1,479.56 = 408.80 : x
  2. Step 2: Convert to fraction form
    985.93/1,479.56 = 408.80/x
  3. Step 3: Cross multiply
    985.93x = 1,479.56 × 408.80
  4. Step 4: Simplify right side
    985.93x = 604,845.78
  5. Step 5: Solve for x
    x = 604,845.78/985.93
  6. Step 6: Final answer
    x = 613.48

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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.