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Finding the Fourth Proportional to 711.55, 982.97 and 706.06

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Solution

The fourth proportional to 711.55, 982.97 and 706.06 is: 975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.55 : 982.97 = 706.06 : x
  2. Step 2: Convert to fraction form
    711.55/982.97 = 706.06/x
  3. Step 3: Cross multiply
    711.55x = 982.97 × 706.06
  4. Step 4: Simplify right side
    711.55x = 694,035.80
  5. Step 5: Solve for x
    x = 694,035.80/711.55
  6. Step 6: Final answer
    x = 975.39

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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.