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Finding the Fourth Proportional to 712.12, 982.26 and 442.87

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Solution

The fourth proportional to 712.12, 982.26 and 442.87 is: 610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.12 : 982.26 = 442.87 : x
  2. Step 2: Convert to fraction form
    712.12/982.26 = 442.87/x
  3. Step 3: Cross multiply
    712.12x = 982.26 × 442.87
  4. Step 4: Simplify right side
    712.12x = 435,013.49
  5. Step 5: Solve for x
    x = 435,013.49/712.12
  6. Step 6: Final answer
    x = 610.87

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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.