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Finding the Fourth Proportional to 868.40, 1,197.96 and 646.64

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Solution

The fourth proportional to 868.40, 1,197.96 and 646.64 is: 892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.40 : 1,197.96 = 646.64 : x
  2. Step 2: Convert to fraction form
    868.40/1,197.96 = 646.64/x
  3. Step 3: Cross multiply
    868.40x = 1,197.96 × 646.64
  4. Step 4: Simplify right side
    868.40x = 774,648.85
  5. Step 5: Solve for x
    x = 774,648.85/868.40
  6. Step 6: Final answer
    x = 892.04

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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.