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Finding the Fourth Proportional to 1,049.84, 1,448.75 and 577.75

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Solution

The fourth proportional to 1,049.84, 1,448.75 and 577.75 is: 797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.84 : 1,448.75 = 577.75 : x
  2. Step 2: Convert to fraction form
    1,049.84/1,448.75 = 577.75/x
  3. Step 3: Cross multiply
    1,049.84x = 1,448.75 × 577.75
  4. Step 4: Simplify right side
    1,049.84x = 837,013.13
  5. Step 5: Solve for x
    x = 837,013.13/1,049.84
  6. Step 6: Final answer
    x = 797.28

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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.