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Finding the Fourth Proportional to 879.61, 1,213.23 and 580.51

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Solution

The fourth proportional to 879.61, 1,213.23 and 580.51 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.61 : 1,213.23 = 580.51 : x
  2. Step 2: Convert to fraction form
    879.61/1,213.23 = 580.51/x
  3. Step 3: Cross multiply
    879.61x = 1,213.23 × 580.51
  4. Step 4: Simplify right side
    879.61x = 704,292.15
  5. Step 5: Solve for x
    x = 704,292.15/879.61
  6. Step 6: Final answer
    x = 800.69

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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.