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Finding the Fourth Proportional to 1,049.85, 1,448.89 and 577.85

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Solution

The fourth proportional to 1,049.85, 1,448.89 and 577.85 is: 797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.85 : 1,448.89 = 577.85 : x
  2. Step 2: Convert to fraction form
    1,049.85/1,448.89 = 577.85/x
  3. Step 3: Cross multiply
    1,049.85x = 1,448.89 × 577.85
  4. Step 4: Simplify right side
    1,049.85x = 837,234.43
  5. Step 5: Solve for x
    x = 837,234.43/1,049.85
  6. Step 6: Final answer
    x = 797.48

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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.