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Finding the Fourth Proportional to 1,136.12, 1,702.56 and 518.30

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Solution

The fourth proportional to 1,136.12, 1,702.56 and 518.30 is: 776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.12 : 1,702.56 = 518.30 : x
  2. Step 2: Convert to fraction form
    1,136.12/1,702.56 = 518.30/x
  3. Step 3: Cross multiply
    1,136.12x = 1,702.56 × 518.30
  4. Step 4: Simplify right side
    1,136.12x = 882,436.85
  5. Step 5: Solve for x
    x = 882,436.85/1,136.12
  6. Step 6: Final answer
    x = 776.71

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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.