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Finding the Fourth Proportional to 1,136.53, 1,702.39 and 520.75

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Solution

The fourth proportional to 1,136.53, 1,702.39 and 520.75 is: 780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.53 : 1,702.39 = 520.75 : x
  2. Step 2: Convert to fraction form
    1,136.53/1,702.39 = 520.75/x
  3. Step 3: Cross multiply
    1,136.53x = 1,702.39 × 520.75
  4. Step 4: Simplify right side
    1,136.53x = 886,511.08
  5. Step 5: Solve for x
    x = 886,511.08/1,136.53
  6. Step 6: Final answer
    x = 780.02

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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.