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Finding the Fourth Proportional to 685.14, 1,026.09 and 440.52

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Solution

The fourth proportional to 685.14, 1,026.09 and 440.52 is: 659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.14 : 1,026.09 = 440.52 : x
  2. Step 2: Convert to fraction form
    685.14/1,026.09 = 440.52/x
  3. Step 3: Cross multiply
    685.14x = 1,026.09 × 440.52
  4. Step 4: Simplify right side
    685.14x = 452,013.17
  5. Step 5: Solve for x
    x = 452,013.17/685.14
  6. Step 6: Final answer
    x = 659.74

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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.