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Finding the Fourth Proportional to 1,042.75, 1,439.01 and 577.03

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Solution

The fourth proportional to 1,042.75, 1,439.01 and 577.03 is: 796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.75 : 1,439.01 = 577.03 : x
  2. Step 2: Convert to fraction form
    1,042.75/1,439.01 = 577.03/x
  3. Step 3: Cross multiply
    1,042.75x = 1,439.01 × 577.03
  4. Step 4: Simplify right side
    1,042.75x = 830,351.94
  5. Step 5: Solve for x
    x = 830,351.94/1,042.75
  6. Step 6: Final answer
    x = 796.31

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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.