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Finding the Fourth Proportional to 879.64, 1,219.45 and 832.82

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Solution

The fourth proportional to 879.64, 1,219.45 and 832.82 is: 1,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.64 : 1,219.45 = 832.82 : x
  2. Step 2: Convert to fraction form
    879.64/1,219.45 = 832.82/x
  3. Step 3: Cross multiply
    879.64x = 1,219.45 × 832.82
  4. Step 4: Simplify right side
    879.64x = 1,015,585.40
  5. Step 5: Solve for x
    x = 1,015,585.40/879.64
  6. Step 6: Final answer
    x = 1,154.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.