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Finding the Fourth Proportional to 996.89, 1,376.32 and 642.98

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Solution

The fourth proportional to 996.89, 1,376.32 and 642.98 is: 887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.89 : 1,376.32 = 642.98 : x
  2. Step 2: Convert to fraction form
    996.89/1,376.32 = 642.98/x
  3. Step 3: Cross multiply
    996.89x = 1,376.32 × 642.98
  4. Step 4: Simplify right side
    996.89x = 884,946.23
  5. Step 5: Solve for x
    x = 884,946.23/996.89
  6. Step 6: Final answer
    x = 887.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.