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Finding the Fourth Proportional to 712.64, 982.54 and 606.19

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Solution

The fourth proportional to 712.64, 982.54 and 606.19 is: 835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.64 : 982.54 = 606.19 : x
  2. Step 2: Convert to fraction form
    712.64/982.54 = 606.19/x
  3. Step 3: Cross multiply
    712.64x = 982.54 × 606.19
  4. Step 4: Simplify right side
    712.64x = 595,607.91
  5. Step 5: Solve for x
    x = 595,607.91/712.64
  6. Step 6: Final answer
    x = 835.78

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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.