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Finding the Fourth Proportional to 640.14, 959.70 and 588.88

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Solution

The fourth proportional to 640.14, 959.70 and 588.88 is: 882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.14 : 959.70 = 588.88 : x
  2. Step 2: Convert to fraction form
    640.14/959.70 = 588.88/x
  3. Step 3: Cross multiply
    640.14x = 959.70 × 588.88
  4. Step 4: Simplify right side
    640.14x = 565,148.14
  5. Step 5: Solve for x
    x = 565,148.14/640.14
  6. Step 6: Final answer
    x = 882.85

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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.