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Finding the Fourth Proportional to 752.76, 1,039.50 and 477.24

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Solution

The fourth proportional to 752.76, 1,039.50 and 477.24 is: 659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.76 : 1,039.50 = 477.24 : x
  2. Step 2: Convert to fraction form
    752.76/1,039.50 = 477.24/x
  3. Step 3: Cross multiply
    752.76x = 1,039.50 × 477.24
  4. Step 4: Simplify right side
    752.76x = 496,090.98
  5. Step 5: Solve for x
    x = 496,090.98/752.76
  6. Step 6: Final answer
    x = 659.03

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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.