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Finding the Fourth Proportional to 993.79, 1,369.56 and 744.49

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Solution

The fourth proportional to 993.79, 1,369.56 and 744.49 is: 1,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.79 : 1,369.56 = 744.49 : x
  2. Step 2: Convert to fraction form
    993.79/1,369.56 = 744.49/x
  3. Step 3: Cross multiply
    993.79x = 1,369.56 × 744.49
  4. Step 4: Simplify right side
    993.79x = 1,019,623.72
  5. Step 5: Solve for x
    x = 1,019,623.72/993.79
  6. Step 6: Final answer
    x = 1,026.00

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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.