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Finding the Fourth Proportional to 871.26, 1,312.91 and 829.54

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Solution

The fourth proportional to 871.26, 1,312.91 and 829.54 is: 1,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.26 : 1,312.91 = 829.54 : x
  2. Step 2: Convert to fraction form
    871.26/1,312.91 = 829.54/x
  3. Step 3: Cross multiply
    871.26x = 1,312.91 × 829.54
  4. Step 4: Simplify right side
    871.26x = 1,089,111.97
  5. Step 5: Solve for x
    x = 1,089,111.97/871.26
  6. Step 6: Final answer
    x = 1,250.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.