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Finding the Fourth Proportional to 685.56, 1,026.98 and 438.41

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Solution

The fourth proportional to 685.56, 1,026.98 and 438.41 is: 656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.56 : 1,026.98 = 438.41 : x
  2. Step 2: Convert to fraction form
    685.56/1,026.98 = 438.41/x
  3. Step 3: Cross multiply
    685.56x = 1,026.98 × 438.41
  4. Step 4: Simplify right side
    685.56x = 450,240.32
  5. Step 5: Solve for x
    x = 450,240.32/685.56
  6. Step 6: Final answer
    x = 656.74

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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.