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Finding the Fourth Proportional to 879.08, 1,212.80 and 584.66

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Solution

The fourth proportional to 879.08, 1,212.80 and 584.66 is: 806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.08 : 1,212.80 = 584.66 : x
  2. Step 2: Convert to fraction form
    879.08/1,212.80 = 584.66/x
  3. Step 3: Cross multiply
    879.08x = 1,212.80 × 584.66
  4. Step 4: Simplify right side
    879.08x = 709,075.65
  5. Step 5: Solve for x
    x = 709,075.65/879.08
  6. Step 6: Final answer
    x = 806.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.