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Finding the Fourth Proportional to 862.44, 1,294.06 and 429.64

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Solution

The fourth proportional to 862.44, 1,294.06 and 429.64 is: 644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.44 : 1,294.06 = 429.64 : x
  2. Step 2: Convert to fraction form
    862.44/1,294.06 = 429.64/x
  3. Step 3: Cross multiply
    862.44x = 1,294.06 × 429.64
  4. Step 4: Simplify right side
    862.44x = 555,979.94
  5. Step 5: Solve for x
    x = 555,979.94/862.44
  6. Step 6: Final answer
    x = 644.66

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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.