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Finding the Fourth Proportional to 1,049.01, 1,448.21 and 735.24

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Solution

The fourth proportional to 1,049.01, 1,448.21 and 735.24 is: 1,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.01 : 1,448.21 = 735.24 : x
  2. Step 2: Convert to fraction form
    1,049.01/1,448.21 = 735.24/x
  3. Step 3: Cross multiply
    1,049.01x = 1,448.21 × 735.24
  4. Step 4: Simplify right side
    1,049.01x = 1,064,781.92
  5. Step 5: Solve for x
    x = 1,064,781.92/1,049.01
  6. Step 6: Final answer
    x = 1,015.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.