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Finding the Fourth Proportional to 719.52, 991.76 and 553.47

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Solution

The fourth proportional to 719.52, 991.76 and 553.47 is: 762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.52 : 991.76 = 553.47 : x
  2. Step 2: Convert to fraction form
    719.52/991.76 = 553.47/x
  3. Step 3: Cross multiply
    719.52x = 991.76 × 553.47
  4. Step 4: Simplify right side
    719.52x = 548,906.64
  5. Step 5: Solve for x
    x = 548,906.64/719.52
  6. Step 6: Final answer
    x = 762.88

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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.