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Finding the Fourth Proportional to 1,469.79, 2,028.16 and 880.31

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Solution

The fourth proportional to 1,469.79, 2,028.16 and 880.31 is: 1,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.79 : 2,028.16 = 880.31 : x
  2. Step 2: Convert to fraction form
    1,469.79/2,028.16 = 880.31/x
  3. Step 3: Cross multiply
    1,469.79x = 2,028.16 × 880.31
  4. Step 4: Simplify right side
    1,469.79x = 1,785,409.53
  5. Step 5: Solve for x
    x = 1,785,409.53/1,469.79
  6. Step 6: Final answer
    x = 1,214.74

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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.