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Finding the Fourth Proportional to 861.26, 1,291.71 and 284

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Solution

The fourth proportional to 861.26, 1,291.71 and 284 is: 425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.26 : 1,291.71 = 284 : x
  2. Step 2: Convert to fraction form
    861.26/1,291.71 = 284/x
  3. Step 3: Cross multiply
    861.26x = 1,291.71 × 284
  4. Step 4: Simplify right side
    861.26x = 366,845.64
  5. Step 5: Solve for x
    x = 366,845.64/861.26
  6. Step 6: Final answer
    x = 425.94

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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.