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Finding the Fourth Proportional to 861.66, 1,291.41 and 428.94

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Solution

The fourth proportional to 861.66, 1,291.41 and 428.94 is: 642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.66 : 1,291.41 = 428.94 : x
  2. Step 2: Convert to fraction form
    861.66/1,291.41 = 428.94/x
  3. Step 3: Cross multiply
    861.66x = 1,291.41 × 428.94
  4. Step 4: Simplify right side
    861.66x = 553,937.41
  5. Step 5: Solve for x
    x = 553,937.41/861.66
  6. Step 6: Final answer
    x = 642.87

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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.