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Finding the Fourth Proportional to 752.72, 1,124.92 and 694.34

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Solution

The fourth proportional to 752.72, 1,124.92 and 694.34 is: 1,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.72 : 1,124.92 = 694.34 : x
  2. Step 2: Convert to fraction form
    752.72/1,124.92 = 694.34/x
  3. Step 3: Cross multiply
    752.72x = 1,124.92 × 694.34
  4. Step 4: Simplify right side
    752.72x = 781,076.95
  5. Step 5: Solve for x
    x = 781,076.95/752.72
  6. Step 6: Final answer
    x = 1,037.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.