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Finding the Fourth Proportional to 1,218.29, 1,827.50 and 340.79

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Solution

The fourth proportional to 1,218.29, 1,827.50 and 340.79 is: 511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.29 : 1,827.50 = 340.79 : x
  2. Step 2: Convert to fraction form
    1,218.29/1,827.50 = 340.79/x
  3. Step 3: Cross multiply
    1,218.29x = 1,827.50 × 340.79
  4. Step 4: Simplify right side
    1,218.29x = 622,793.73
  5. Step 5: Solve for x
    x = 622,793.73/1,218.29
  6. Step 6: Final answer
    x = 511.20

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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.