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Finding the Fourth Proportional to 684.57, 944.83 and 661.80

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Solution

The fourth proportional to 684.57, 944.83 and 661.80 is: 913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.57 : 944.83 = 661.80 : x
  2. Step 2: Convert to fraction form
    684.57/944.83 = 661.80/x
  3. Step 3: Cross multiply
    684.57x = 944.83 × 661.80
  4. Step 4: Simplify right side
    684.57x = 625,288.49
  5. Step 5: Solve for x
    x = 625,288.49/684.57
  6. Step 6: Final answer
    x = 913.40

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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.