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Finding the Fourth Proportional to 1,136.64, 1,704.60 and 486.96

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Solution

The fourth proportional to 1,136.64, 1,704.60 and 486.96 is: 730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.64 : 1,704.60 = 486.96 : x
  2. Step 2: Convert to fraction form
    1,136.64/1,704.60 = 486.96/x
  3. Step 3: Cross multiply
    1,136.64x = 1,704.60 × 486.96
  4. Step 4: Simplify right side
    1,136.64x = 830,072.02
  5. Step 5: Solve for x
    x = 830,072.02/1,136.64
  6. Step 6: Final answer
    x = 730.29

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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.