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Finding the Fourth Proportional to 993.64, 1,370.94 and 644.56

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Solution

The fourth proportional to 993.64, 1,370.94 and 644.56 is: 889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.64 : 1,370.94 = 644.56 : x
  2. Step 2: Convert to fraction form
    993.64/1,370.94 = 644.56/x
  3. Step 3: Cross multiply
    993.64x = 1,370.94 × 644.56
  4. Step 4: Simplify right side
    993.64x = 883,653.09
  5. Step 5: Solve for x
    x = 883,653.09/993.64
  6. Step 6: Final answer
    x = 889.31

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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.