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Finding the Fourth Proportional to 996.86, 1,495.73 and 411.99

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Solution

The fourth proportional to 996.86, 1,495.73 and 411.99 is: 618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.86 : 1,495.73 = 411.99 : x
  2. Step 2: Convert to fraction form
    996.86/1,495.73 = 411.99/x
  3. Step 3: Cross multiply
    996.86x = 1,495.73 × 411.99
  4. Step 4: Simplify right side
    996.86x = 616,225.80
  5. Step 5: Solve for x
    x = 616,225.80/996.86
  6. Step 6: Final answer
    x = 618.17

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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.