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Finding the Fourth Proportional to 684.13, 944.31 and 509.71

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Solution

The fourth proportional to 684.13, 944.31 and 509.71 is: 703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.13 : 944.31 = 509.71 : x
  2. Step 2: Convert to fraction form
    684.13/944.31 = 509.71/x
  3. Step 3: Cross multiply
    684.13x = 944.31 × 509.71
  4. Step 4: Simplify right side
    684.13x = 481,324.25
  5. Step 5: Solve for x
    x = 481,324.25/684.13
  6. Step 6: Final answer
    x = 703.56

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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.