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Finding the Fourth Proportional to 719.96, 992.86 and 471.49

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Solution

The fourth proportional to 719.96, 992.86 and 471.49 is: 650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.96 : 992.86 = 471.49 : x
  2. Step 2: Convert to fraction form
    719.96/992.86 = 471.49/x
  3. Step 3: Cross multiply
    719.96x = 992.86 × 471.49
  4. Step 4: Simplify right side
    719.96x = 468,119.90
  5. Step 5: Solve for x
    x = 468,119.90/719.96
  6. Step 6: Final answer
    x = 650.21

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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.