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Finding the Fourth Proportional to 871.82, 1,203.10 and 540.33

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Solution

The fourth proportional to 871.82, 1,203.10 and 540.33 is: 745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.82 : 1,203.10 = 540.33 : x
  2. Step 2: Convert to fraction form
    871.82/1,203.10 = 540.33/x
  3. Step 3: Cross multiply
    871.82x = 1,203.10 × 540.33
  4. Step 4: Simplify right side
    871.82x = 650,069.67
  5. Step 5: Solve for x
    x = 650,069.67/871.82
  6. Step 6: Final answer
    x = 745.64

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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.