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Finding the Fourth Proportional to 919.49, 1,371.69 and 894.38

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Solution

The fourth proportional to 919.49, 1,371.69 and 894.38 is: 1,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.49 : 1,371.69 = 894.38 : x
  2. Step 2: Convert to fraction form
    919.49/1,371.69 = 894.38/x
  3. Step 3: Cross multiply
    919.49x = 1,371.69 × 894.38
  4. Step 4: Simplify right side
    919.49x = 1,226,805.24
  5. Step 5: Solve for x
    x = 1,226,805.24/919.49
  6. Step 6: Final answer
    x = 1,334.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.