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Finding the Fourth Proportional to 1,049.37, 1,448.11 and 577.24

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Solution

The fourth proportional to 1,049.37, 1,448.11 and 577.24 is: 796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.37 : 1,448.11 = 577.24 : x
  2. Step 2: Convert to fraction form
    1,049.37/1,448.11 = 577.24/x
  3. Step 3: Cross multiply
    1,049.37x = 1,448.11 × 577.24
  4. Step 4: Simplify right side
    1,049.37x = 835,907.02
  5. Step 5: Solve for x
    x = 835,907.02/1,049.37
  6. Step 6: Final answer
    x = 796.58

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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.