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Finding the Fourth Proportional to 879.25, 1,213.63 and 525.31

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Solution

The fourth proportional to 879.25, 1,213.63 and 525.31 is: 725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.25 : 1,213.63 = 525.31 : x
  2. Step 2: Convert to fraction form
    879.25/1,213.63 = 525.31/x
  3. Step 3: Cross multiply
    879.25x = 1,213.63 × 525.31
  4. Step 4: Simplify right side
    879.25x = 637,532.18
  5. Step 5: Solve for x
    x = 637,532.18/879.25
  6. Step 6: Final answer
    x = 725.09

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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.