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Finding the Fourth Proportional to 712.39, 982.57 and 556.87

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Solution

The fourth proportional to 712.39, 982.57 and 556.87 is: 768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.39 : 982.57 = 556.87 : x
  2. Step 2: Convert to fraction form
    712.39/982.57 = 556.87/x
  3. Step 3: Cross multiply
    712.39x = 982.57 × 556.87
  4. Step 4: Simplify right side
    712.39x = 547,163.76
  5. Step 5: Solve for x
    x = 547,163.76/712.39
  6. Step 6: Final answer
    x = 768.07

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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.