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Finding the Fourth Proportional to 868.87, 1,302.57 and 406.39

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Solution

The fourth proportional to 868.87, 1,302.57 and 406.39 is: 609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.87 : 1,302.57 = 406.39 : x
  2. Step 2: Convert to fraction form
    868.87/1,302.57 = 406.39/x
  3. Step 3: Cross multiply
    868.87x = 1,302.57 × 406.39
  4. Step 4: Simplify right side
    868.87x = 529,351.42
  5. Step 5: Solve for x
    x = 529,351.42/868.87
  6. Step 6: Final answer
    x = 609.24

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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.