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Finding the Fourth Proportional to 861.46, 1,291.51 and 428.38

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Solution

The fourth proportional to 861.46, 1,291.51 and 428.38 is: 642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.46 : 1,291.51 = 428.38 : x
  2. Step 2: Convert to fraction form
    861.46/1,291.51 = 428.38/x
  3. Step 3: Cross multiply
    861.46x = 1,291.51 × 428.38
  4. Step 4: Simplify right side
    861.46x = 553,257.05
  5. Step 5: Solve for x
    x = 553,257.05/861.46
  6. Step 6: Final answer
    x = 642.23

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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.