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Finding the Fourth Proportional to 684.65, 945.59 and 546.27

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Solution

The fourth proportional to 684.65, 945.59 and 546.27 is: 754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.65 : 945.59 = 546.27 : x
  2. Step 2: Convert to fraction form
    684.65/945.59 = 546.27/x
  3. Step 3: Cross multiply
    684.65x = 945.59 × 546.27
  4. Step 4: Simplify right side
    684.65x = 516,544.72
  5. Step 5: Solve for x
    x = 516,544.72/684.65
  6. Step 6: Final answer
    x = 754.47

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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.