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Finding the Fourth Proportional to 719.67, 992.61 and 471.27

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Solution

The fourth proportional to 719.67, 992.61 and 471.27 is: 650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.67 : 992.61 = 471.27 : x
  2. Step 2: Convert to fraction form
    719.67/992.61 = 471.27/x
  3. Step 3: Cross multiply
    719.67x = 992.61 × 471.27
  4. Step 4: Simplify right side
    719.67x = 467,787.31
  5. Step 5: Solve for x
    x = 467,787.31/719.67
  6. Step 6: Final answer
    x = 650.00

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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.