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Finding the Fourth Proportional to 947.60, 1,306.47 and 694.73

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Solution

The fourth proportional to 947.60, 1,306.47 and 694.73 is: 957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.60 : 1,306.47 = 694.73 : x
  2. Step 2: Convert to fraction form
    947.60/1,306.47 = 694.73/x
  3. Step 3: Cross multiply
    947.60x = 1,306.47 × 694.73
  4. Step 4: Simplify right side
    947.60x = 907,643.90
  5. Step 5: Solve for x
    x = 907,643.90/947.60
  6. Step 6: Final answer
    x = 957.83

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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.