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Finding the Fourth Proportional to 1,213.77, 1,673.22 and 947.79

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Solution

The fourth proportional to 1,213.77, 1,673.22 and 947.79 is: 1,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.77 : 1,673.22 = 947.79 : x
  2. Step 2: Convert to fraction form
    1,213.77/1,673.22 = 947.79/x
  3. Step 3: Cross multiply
    1,213.77x = 1,673.22 × 947.79
  4. Step 4: Simplify right side
    1,213.77x = 1,585,861.18
  5. Step 5: Solve for x
    x = 1,585,861.18/1,213.77
  6. Step 6: Final answer
    x = 1,306.56

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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.