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Finding the Fourth Proportional to 1,136.14, 1,706.64 and 963.16

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Solution

The fourth proportional to 1,136.14, 1,706.64 and 963.16 is: 1,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.14 : 1,706.64 = 963.16 : x
  2. Step 2: Convert to fraction form
    1,136.14/1,706.64 = 963.16/x
  3. Step 3: Cross multiply
    1,136.14x = 1,706.64 × 963.16
  4. Step 4: Simplify right side
    1,136.14x = 1,643,767.38
  5. Step 5: Solve for x
    x = 1,643,767.38/1,136.14
  6. Step 6: Final answer
    x = 1,446.80

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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.