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Finding the Fourth Proportional to 719.57, 992.75 and 471.03

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Solution

The fourth proportional to 719.57, 992.75 and 471.03 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.57 : 992.75 = 471.03 : x
  2. Step 2: Convert to fraction form
    719.57/992.75 = 471.03/x
  3. Step 3: Cross multiply
    719.57x = 992.75 × 471.03
  4. Step 4: Simplify right side
    719.57x = 467,612.68
  5. Step 5: Solve for x
    x = 467,612.68/719.57
  6. Step 6: Final answer
    x = 649.85

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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.