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Finding the Fourth Proportional to 1,496.13, 2,244.32 and 400.49

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Solution

The fourth proportional to 1,496.13, 2,244.32 and 400.49 is: 600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.13 : 2,244.32 = 400.49 : x
  2. Step 2: Convert to fraction form
    1,496.13/2,244.32 = 400.49/x
  3. Step 3: Cross multiply
    1,496.13x = 2,244.32 × 400.49
  4. Step 4: Simplify right side
    1,496.13x = 898,838.87
  5. Step 5: Solve for x
    x = 898,838.87/1,496.13
  6. Step 6: Final answer
    x = 600.78

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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.