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Finding the Fourth Proportional to 1,136.53, 1,704.18 and 405.71

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Solution

The fourth proportional to 1,136.53, 1,704.18 and 405.71 is: 608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.53 : 1,704.18 = 405.71 : x
  2. Step 2: Convert to fraction form
    1,136.53/1,704.18 = 405.71/x
  3. Step 3: Cross multiply
    1,136.53x = 1,704.18 × 405.71
  4. Step 4: Simplify right side
    1,136.53x = 691,394.35
  5. Step 5: Solve for x
    x = 691,394.35/1,136.53
  6. Step 6: Final answer
    x = 608.34

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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.