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Finding the Fourth Proportional to 752.34, 1,038.74 and 504.03

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Solution

The fourth proportional to 752.34, 1,038.74 and 504.03 is: 695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.34 : 1,038.74 = 504.03 : x
  2. Step 2: Convert to fraction form
    752.34/1,038.74 = 504.03/x
  3. Step 3: Cross multiply
    752.34x = 1,038.74 × 504.03
  4. Step 4: Simplify right side
    752.34x = 523,553.60
  5. Step 5: Solve for x
    x = 523,553.60/752.34
  6. Step 6: Final answer
    x = 695.90

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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.