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Finding the Fourth Proportional to 1,197.92, 1,797.15 and 467.71

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Solution

The fourth proportional to 1,197.92, 1,797.15 and 467.71 is: 701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.92 : 1,797.15 = 467.71 : x
  2. Step 2: Convert to fraction form
    1,197.92/1,797.15 = 467.71/x
  3. Step 3: Cross multiply
    1,197.92x = 1,797.15 × 467.71
  4. Step 4: Simplify right side
    1,197.92x = 840,542.29
  5. Step 5: Solve for x
    x = 840,542.29/1,197.92
  6. Step 6: Final answer
    x = 701.67

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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.