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Finding the Fourth Proportional to 1,425.46, 1,966.59 and 865.73

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Solution

The fourth proportional to 1,425.46, 1,966.59 and 865.73 is: 1,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.46 : 1,966.59 = 865.73 : x
  2. Step 2: Convert to fraction form
    1,425.46/1,966.59 = 865.73/x
  3. Step 3: Cross multiply
    1,425.46x = 1,966.59 × 865.73
  4. Step 4: Simplify right side
    1,425.46x = 1,702,535.96
  5. Step 5: Solve for x
    x = 1,702,535.96/1,425.46
  6. Step 6: Final answer
    x = 1,194.38

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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.