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Finding the Fourth Proportional to 873.92, 1,206.38 and 664.14

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Solution

The fourth proportional to 873.92, 1,206.38 and 664.14 is: 916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.92 : 1,206.38 = 664.14 : x
  2. Step 2: Convert to fraction form
    873.92/1,206.38 = 664.14/x
  3. Step 3: Cross multiply
    873.92x = 1,206.38 × 664.14
  4. Step 4: Simplify right side
    873.92x = 801,205.21
  5. Step 5: Solve for x
    x = 801,205.21/873.92
  6. Step 6: Final answer
    x = 916.79

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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.