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Finding the Fourth Proportional to 1,049.82, 1,448.77 and 577.77

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Solution

The fourth proportional to 1,049.82, 1,448.77 and 577.77 is: 797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.82 : 1,448.77 = 577.77 : x
  2. Step 2: Convert to fraction form
    1,049.82/1,448.77 = 577.77/x
  3. Step 3: Cross multiply
    1,049.82x = 1,448.77 × 577.77
  4. Step 4: Simplify right side
    1,049.82x = 837,055.49
  5. Step 5: Solve for x
    x = 837,055.49/1,049.82
  6. Step 6: Final answer
    x = 797.33

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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.