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Finding the Fourth Proportional to 879.10, 1,213.14 and 529.90

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Solution

The fourth proportional to 879.10, 1,213.14 and 529.90 is: 731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.10 : 1,213.14 = 529.90 : x
  2. Step 2: Convert to fraction form
    879.10/1,213.14 = 529.90/x
  3. Step 3: Cross multiply
    879.10x = 1,213.14 × 529.90
  4. Step 4: Simplify right side
    879.10x = 642,842.89
  5. Step 5: Solve for x
    x = 642,842.89/879.10
  6. Step 6: Final answer
    x = 731.25

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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.