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Finding the Fourth Proportional to 879.34, 1,214.45 and 825.07

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Solution

The fourth proportional to 879.34, 1,214.45 and 825.07 is: 1,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.34 : 1,214.45 = 825.07 : x
  2. Step 2: Convert to fraction form
    879.34/1,214.45 = 825.07/x
  3. Step 3: Cross multiply
    879.34x = 1,214.45 × 825.07
  4. Step 4: Simplify right side
    879.34x = 1,002,006.26
  5. Step 5: Solve for x
    x = 1,002,006.26/879.34
  6. Step 6: Final answer
    x = 1,139.50

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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.