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Finding the Fourth Proportional to 814.24, 1,218.32 and 716.23

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Solution

The fourth proportional to 814.24, 1,218.32 and 716.23 is: 1,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.24 : 1,218.32 = 716.23 : x
  2. Step 2: Convert to fraction form
    814.24/1,218.32 = 716.23/x
  3. Step 3: Cross multiply
    814.24x = 1,218.32 × 716.23
  4. Step 4: Simplify right side
    814.24x = 872,597.33
  5. Step 5: Solve for x
    x = 872,597.33/814.24
  6. Step 6: Final answer
    x = 1,071.67

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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.