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Finding the Fourth Proportional to 1,136.62, 1,704.73 and 314.70

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Solution

The fourth proportional to 1,136.62, 1,704.73 and 314.70 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.62 : 1,704.73 = 314.70 : x
  2. Step 2: Convert to fraction form
    1,136.62/1,704.73 = 314.70/x
  3. Step 3: Cross multiply
    1,136.62x = 1,704.73 × 314.70
  4. Step 4: Simplify right side
    1,136.62x = 536,478.53
  5. Step 5: Solve for x
    x = 536,478.53/1,136.62
  6. Step 6: Final answer
    x = 471.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.