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Finding the Fourth Proportional to 871.83, 1,309.37 and 583.47

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Solution

The fourth proportional to 871.83, 1,309.37 and 583.47 is: 876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.83 : 1,309.37 = 583.47 : x
  2. Step 2: Convert to fraction form
    871.83/1,309.37 = 583.47/x
  3. Step 3: Cross multiply
    871.83x = 1,309.37 × 583.47
  4. Step 4: Simplify right side
    871.83x = 763,975.20
  5. Step 5: Solve for x
    x = 763,975.20/871.83
  6. Step 6: Final answer
    x = 876.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.