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Finding the Fourth Proportional to 1,136.17, 1,703.24 and 405.64

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Solution

The fourth proportional to 1,136.17, 1,703.24 and 405.64 is: 608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.17 : 1,703.24 = 405.64 : x
  2. Step 2: Convert to fraction form
    1,136.17/1,703.24 = 405.64/x
  3. Step 3: Cross multiply
    1,136.17x = 1,703.24 × 405.64
  4. Step 4: Simplify right side
    1,136.17x = 690,891.73
  5. Step 5: Solve for x
    x = 690,891.73/1,136.17
  6. Step 6: Final answer
    x = 608.09

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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.