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Finding the Fourth Proportional to 879.33, 1,213.29 and 525.24

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Solution

The fourth proportional to 879.33, 1,213.29 and 525.24 is: 724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.33 : 1,213.29 = 525.24 : x
  2. Step 2: Convert to fraction form
    879.33/1,213.29 = 525.24/x
  3. Step 3: Cross multiply
    879.33x = 1,213.29 × 525.24
  4. Step 4: Simplify right side
    879.33x = 637,268.44
  5. Step 5: Solve for x
    x = 637,268.44/879.33
  6. Step 6: Final answer
    x = 724.72

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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.