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Finding the Fourth Proportional to 711.27, 982.13 and 645.39

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Solution

The fourth proportional to 711.27, 982.13 and 645.39 is: 891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.27 : 982.13 = 645.39 : x
  2. Step 2: Convert to fraction form
    711.27/982.13 = 645.39/x
  3. Step 3: Cross multiply
    711.27x = 982.13 × 645.39
  4. Step 4: Simplify right side
    711.27x = 633,853.65
  5. Step 5: Solve for x
    x = 633,853.65/711.27
  6. Step 6: Final answer
    x = 891.16

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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.