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Finding the Fourth Proportional to 993.37, 1,371.42 and 742.67

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Solution

The fourth proportional to 993.37, 1,371.42 and 742.67 is: 1,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.37 : 1,371.42 = 742.67 : x
  2. Step 2: Convert to fraction form
    993.37/1,371.42 = 742.67/x
  3. Step 3: Cross multiply
    993.37x = 1,371.42 × 742.67
  4. Step 4: Simplify right side
    993.37x = 1,018,512.49
  5. Step 5: Solve for x
    x = 1,018,512.49/993.37
  6. Step 6: Final answer
    x = 1,025.32

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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.