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Finding the Fourth Proportional to 713.16, 982.17 and 575.87

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Solution

The fourth proportional to 713.16, 982.17 and 575.87 is: 793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 982.17 = 575.87 : x
  2. Step 2: Convert to fraction form
    713.16/982.17 = 575.87/x
  3. Step 3: Cross multiply
    713.16x = 982.17 × 575.87
  4. Step 4: Simplify right side
    713.16x = 565,597.33
  5. Step 5: Solve for x
    x = 565,597.33/713.16
  6. Step 6: Final answer
    x = 793.09

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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.