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Finding the Fourth Proportional to 1,136.65, 1,569 and 1,105.42

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Solution

The fourth proportional to 1,136.65, 1,569 and 1,105.42 is: 1,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.65 : 1,569 = 1,105.42 : x
  2. Step 2: Convert to fraction form
    1,136.65/1,569 = 1,105.42/x
  3. Step 3: Cross multiply
    1,136.65x = 1,569 × 1,105.42
  4. Step 4: Simplify right side
    1,136.65x = 1,734,403.98
  5. Step 5: Solve for x
    x = 1,734,403.98/1,136.65
  6. Step 6: Final answer
    x = 1,525.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.