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Finding the Fourth Proportional to 719.88, 993.11 and 471.11

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Solution

The fourth proportional to 719.88, 993.11 and 471.11 is: 649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.88 : 993.11 = 471.11 : x
  2. Step 2: Convert to fraction form
    719.88/993.11 = 471.11/x
  3. Step 3: Cross multiply
    719.88x = 993.11 × 471.11
  4. Step 4: Simplify right side
    719.88x = 467,856.73
  5. Step 5: Solve for x
    x = 467,856.73/719.88
  6. Step 6: Final answer
    x = 649.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.