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Finding the Fourth Proportional to 868.88, 1,302.75 and 406.65

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Solution

The fourth proportional to 868.88, 1,302.75 and 406.65 is: 609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.88 : 1,302.75 = 406.65 : x
  2. Step 2: Convert to fraction form
    868.88/1,302.75 = 406.65/x
  3. Step 3: Cross multiply
    868.88x = 1,302.75 × 406.65
  4. Step 4: Simplify right side
    868.88x = 529,763.29
  5. Step 5: Solve for x
    x = 529,763.29/868.88
  6. Step 6: Final answer
    x = 609.71

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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.