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Finding the Fourth Proportional to 752.88, 1,039.44 and 517.21

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Solution

The fourth proportional to 752.88, 1,039.44 and 517.21 is: 714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.88 : 1,039.44 = 517.21 : x
  2. Step 2: Convert to fraction form
    752.88/1,039.44 = 517.21/x
  3. Step 3: Cross multiply
    752.88x = 1,039.44 × 517.21
  4. Step 4: Simplify right side
    752.88x = 537,608.76
  5. Step 5: Solve for x
    x = 537,608.76/752.88
  6. Step 6: Final answer
    x = 714.07

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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.