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Finding the Fourth Proportional to 879.42, 1,214.62 and 584.18

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Solution

The fourth proportional to 879.42, 1,214.62 and 584.18 is: 806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.42 : 1,214.62 = 584.18 : x
  2. Step 2: Convert to fraction form
    879.42/1,214.62 = 584.18/x
  3. Step 3: Cross multiply
    879.42x = 1,214.62 × 584.18
  4. Step 4: Simplify right side
    879.42x = 709,556.71
  5. Step 5: Solve for x
    x = 709,556.71/879.42
  6. Step 6: Final answer
    x = 806.85

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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.