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Finding the Fourth Proportional to 659.38, 911.16 and 638.02

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Solution

The fourth proportional to 659.38, 911.16 and 638.02 is: 881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.38 : 911.16 = 638.02 : x
  2. Step 2: Convert to fraction form
    659.38/911.16 = 638.02/x
  3. Step 3: Cross multiply
    659.38x = 911.16 × 638.02
  4. Step 4: Simplify right side
    659.38x = 581,338.30
  5. Step 5: Solve for x
    x = 581,338.30/659.38
  6. Step 6: Final answer
    x = 881.64

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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.