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Finding the Fourth Proportional to 702.11, 1,052.36 and 427.59

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Solution

The fourth proportional to 702.11, 1,052.36 and 427.59 is: 640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.11 : 1,052.36 = 427.59 : x
  2. Step 2: Convert to fraction form
    702.11/1,052.36 = 427.59/x
  3. Step 3: Cross multiply
    702.11x = 1,052.36 × 427.59
  4. Step 4: Simplify right side
    702.11x = 449,978.08
  5. Step 5: Solve for x
    x = 449,978.08/702.11
  6. Step 6: Final answer
    x = 640.90

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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.