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Finding the Fourth Proportional to 851.22, 1,275.71 and 829.76

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Solution

The fourth proportional to 851.22, 1,275.71 and 829.76 is: 1,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.22 : 1,275.71 = 829.76 : x
  2. Step 2: Convert to fraction form
    851.22/1,275.71 = 829.76/x
  3. Step 3: Cross multiply
    851.22x = 1,275.71 × 829.76
  4. Step 4: Simplify right side
    851.22x = 1,058,522.60
  5. Step 5: Solve for x
    x = 1,058,522.60/851.22
  6. Step 6: Final answer
    x = 1,243.54

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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.