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Finding the Fourth Proportional to 756.28, 1,043.70 and 519.76

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Solution

The fourth proportional to 756.28, 1,043.70 and 519.76 is: 717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.28 : 1,043.70 = 519.76 : x
  2. Step 2: Convert to fraction form
    756.28/1,043.70 = 519.76/x
  3. Step 3: Cross multiply
    756.28x = 1,043.70 × 519.76
  4. Step 4: Simplify right side
    756.28x = 542,473.51
  5. Step 5: Solve for x
    x = 542,473.51/756.28
  6. Step 6: Final answer
    x = 717.29

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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.