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Finding the Fourth Proportional to 1,354.13, 2,029.97 and 488.24

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Solution

The fourth proportional to 1,354.13, 2,029.97 and 488.24 is: 731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.13 : 2,029.97 = 488.24 : x
  2. Step 2: Convert to fraction form
    1,354.13/2,029.97 = 488.24/x
  3. Step 3: Cross multiply
    1,354.13x = 2,029.97 × 488.24
  4. Step 4: Simplify right side
    1,354.13x = 991,099.96
  5. Step 5: Solve for x
    x = 991,099.96/1,354.13
  6. Step 6: Final answer
    x = 731.91

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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.