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Finding the Fourth Proportional to 1,218.90, 1,829.30 and 851.30

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Solution

The fourth proportional to 1,218.90, 1,829.30 and 851.30 is: 1,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.90 : 1,829.30 = 851.30 : x
  2. Step 2: Convert to fraction form
    1,218.90/1,829.30 = 851.30/x
  3. Step 3: Cross multiply
    1,218.90x = 1,829.30 × 851.30
  4. Step 4: Simplify right side
    1,218.90x = 1,557,283.09
  5. Step 5: Solve for x
    x = 1,557,283.09/1,218.90
  6. Step 6: Final answer
    x = 1,277.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.