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Finding the Fourth Proportional to 969.94, 1,457.33 and 911.62

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Solution

The fourth proportional to 969.94, 1,457.33 and 911.62 is: 1,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.94 : 1,457.33 = 911.62 : x
  2. Step 2: Convert to fraction form
    969.94/1,457.33 = 911.62/x
  3. Step 3: Cross multiply
    969.94x = 1,457.33 × 911.62
  4. Step 4: Simplify right side
    969.94x = 1,328,526.17
  5. Step 5: Solve for x
    x = 1,328,526.17/969.94
  6. Step 6: Final answer
    x = 1,369.71

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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.