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Finding the Fourth Proportional to 719.64, 991.98 and 680.76

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Solution

The fourth proportional to 719.64, 991.98 and 680.76 is: 938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.64 : 991.98 = 680.76 : x
  2. Step 2: Convert to fraction form
    719.64/991.98 = 680.76/x
  3. Step 3: Cross multiply
    719.64x = 991.98 × 680.76
  4. Step 4: Simplify right side
    719.64x = 675,300.30
  5. Step 5: Solve for x
    x = 675,300.30/719.64
  6. Step 6: Final answer
    x = 938.39

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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.