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Finding the Fourth Proportional to 1,313, 1,811.86 and 723.42

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Solution

The fourth proportional to 1,313, 1,811.86 and 723.42 is: 998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313 : 1,811.86 = 723.42 : x
  2. Step 2: Convert to fraction form
    1,313/1,811.86 = 723.42/x
  3. Step 3: Cross multiply
    1,313x = 1,811.86 × 723.42
  4. Step 4: Simplify right side
    1,313x = 1,310,735.76
  5. Step 5: Solve for x
    x = 1,310,735.76/1,313
  6. Step 6: Final answer
    x = 998.28

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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.