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Finding the Fourth Proportional to 712.16, 982.43 and 546.09

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Solution

The fourth proportional to 712.16, 982.43 and 546.09 is: 753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.16 : 982.43 = 546.09 : x
  2. Step 2: Convert to fraction form
    712.16/982.43 = 546.09/x
  3. Step 3: Cross multiply
    712.16x = 982.43 × 546.09
  4. Step 4: Simplify right side
    712.16x = 536,496.36
  5. Step 5: Solve for x
    x = 536,496.36/712.16
  6. Step 6: Final answer
    x = 753.34

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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.