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Finding the Fourth Proportional to 684.56, 1,026.75 and 440.30

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Solution

The fourth proportional to 684.56, 1,026.75 and 440.30 is: 660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.56 : 1,026.75 = 440.30 : x
  2. Step 2: Convert to fraction form
    684.56/1,026.75 = 440.30/x
  3. Step 3: Cross multiply
    684.56x = 1,026.75 × 440.30
  4. Step 4: Simplify right side
    684.56x = 452,078.03
  5. Step 5: Solve for x
    x = 452,078.03/684.56
  6. Step 6: Final answer
    x = 660.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.