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Finding the Fourth Proportional to 874.83, 1,312.25 and 821.37

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Solution

The fourth proportional to 874.83, 1,312.25 and 821.37 is: 1,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.83 : 1,312.25 = 821.37 : x
  2. Step 2: Convert to fraction form
    874.83/1,312.25 = 821.37/x
  3. Step 3: Cross multiply
    874.83x = 1,312.25 × 821.37
  4. Step 4: Simplify right side
    874.83x = 1,077,842.22
  5. Step 5: Solve for x
    x = 1,077,842.22/874.83
  6. Step 6: Final answer
    x = 1,232.06

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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.