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Finding the Fourth Proportional to 879.48, 1,213.59 and 525.33

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Solution

The fourth proportional to 879.48, 1,213.59 and 525.33 is: 724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.48 : 1,213.59 = 525.33 : x
  2. Step 2: Convert to fraction form
    879.48/1,213.59 = 525.33/x
  3. Step 3: Cross multiply
    879.48x = 1,213.59 × 525.33
  4. Step 4: Simplify right side
    879.48x = 637,535.23
  5. Step 5: Solve for x
    x = 637,535.23/879.48
  6. Step 6: Final answer
    x = 724.90

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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.