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Finding the Fourth Proportional to 1,136.95, 1,705.44 and 367.45

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Solution

The fourth proportional to 1,136.95, 1,705.44 and 367.45 is: 551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.95 : 1,705.44 = 367.45 : x
  2. Step 2: Convert to fraction form
    1,136.95/1,705.44 = 367.45/x
  3. Step 3: Cross multiply
    1,136.95x = 1,705.44 × 367.45
  4. Step 4: Simplify right side
    1,136.95x = 626,668.57
  5. Step 5: Solve for x
    x = 626,668.57/1,136.95
  6. Step 6: Final answer
    x = 551.18

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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.