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Finding the Fourth Proportional to 862.66, 1,292.91 and 429.94

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Solution

The fourth proportional to 862.66, 1,292.91 and 429.94 is: 644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.66 : 1,292.91 = 429.94 : x
  2. Step 2: Convert to fraction form
    862.66/1,292.91 = 429.94/x
  3. Step 3: Cross multiply
    862.66x = 1,292.91 × 429.94
  4. Step 4: Simplify right side
    862.66x = 555,873.73
  5. Step 5: Solve for x
    x = 555,873.73/862.66
  6. Step 6: Final answer
    x = 644.37

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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.