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Finding the Fourth Proportional to 659.10, 982.64 and 642.27

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Solution

The fourth proportional to 659.10, 982.64 and 642.27 is: 957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.10 : 982.64 = 642.27 : x
  2. Step 2: Convert to fraction form
    659.10/982.64 = 642.27/x
  3. Step 3: Cross multiply
    659.10x = 982.64 × 642.27
  4. Step 4: Simplify right side
    659.10x = 631,112.07
  5. Step 5: Solve for x
    x = 631,112.07/659.10
  6. Step 6: Final answer
    x = 957.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.