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Finding the Fourth Proportional to 1,136.40, 1,704.38 and 314.61

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Solution

The fourth proportional to 1,136.40, 1,704.38 and 314.61 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.40 : 1,704.38 = 314.61 : x
  2. Step 2: Convert to fraction form
    1,136.40/1,704.38 = 314.61/x
  3. Step 3: Cross multiply
    1,136.40x = 1,704.38 × 314.61
  4. Step 4: Simplify right side
    1,136.40x = 536,207.03
  5. Step 5: Solve for x
    x = 536,207.03/1,136.40
  6. Step 6: Final answer
    x = 471.85

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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.