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Finding the Fourth Proportional to 1,496.33, 2,244.31 and 400.77

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Solution

The fourth proportional to 1,496.33, 2,244.31 and 400.77 is: 601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.33 : 2,244.31 = 400.77 : x
  2. Step 2: Convert to fraction form
    1,496.33/2,244.31 = 400.77/x
  3. Step 3: Cross multiply
    1,496.33x = 2,244.31 × 400.77
  4. Step 4: Simplify right side
    1,496.33x = 899,452.12
  5. Step 5: Solve for x
    x = 899,452.12/1,496.33
  6. Step 6: Final answer
    x = 601.11

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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.