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Finding the Fourth Proportional to 862.13, 1,189.37 and 674.87

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Solution

The fourth proportional to 862.13, 1,189.37 and 674.87 is: 931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.13 : 1,189.37 = 674.87 : x
  2. Step 2: Convert to fraction form
    862.13/1,189.37 = 674.87/x
  3. Step 3: Cross multiply
    862.13x = 1,189.37 × 674.87
  4. Step 4: Simplify right side
    862.13x = 802,660.81
  5. Step 5: Solve for x
    x = 802,660.81/862.13
  6. Step 6: Final answer
    x = 931.03

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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.