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Finding the Fourth Proportional to 1,228.80, 1,696.32 and 879.68

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Solution

The fourth proportional to 1,228.80, 1,696.32 and 879.68 is: 1,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.80 : 1,696.32 = 879.68 : x
  2. Step 2: Convert to fraction form
    1,228.80/1,696.32 = 879.68/x
  3. Step 3: Cross multiply
    1,228.80x = 1,696.32 × 879.68
  4. Step 4: Simplify right side
    1,228.80x = 1,492,218.78
  5. Step 5: Solve for x
    x = 1,492,218.78/1,228.80
  6. Step 6: Final answer
    x = 1,214.37

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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.