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Finding the Fourth Proportional to 1,262.79, 1,892.57 and 706.73

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Solution

The fourth proportional to 1,262.79, 1,892.57 and 706.73 is: 1,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.79 : 1,892.57 = 706.73 : x
  2. Step 2: Convert to fraction form
    1,262.79/1,892.57 = 706.73/x
  3. Step 3: Cross multiply
    1,262.79x = 1,892.57 × 706.73
  4. Step 4: Simplify right side
    1,262.79x = 1,337,523.00
  5. Step 5: Solve for x
    x = 1,337,523.00/1,262.79
  6. Step 6: Final answer
    x = 1,059.18

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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.