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Finding the Fourth Proportional to 659.47, 987.57 and 427.64

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Solution

The fourth proportional to 659.47, 987.57 and 427.64 is: 640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.47 : 987.57 = 427.64 : x
  2. Step 2: Convert to fraction form
    659.47/987.57 = 427.64/x
  3. Step 3: Cross multiply
    659.47x = 987.57 × 427.64
  4. Step 4: Simplify right side
    659.47x = 422,324.43
  5. Step 5: Solve for x
    x = 422,324.43/659.47
  6. Step 6: Final answer
    x = 640.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.