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Finding the Fourth Proportional to 867.45, 1,302.02 and 820.63

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Solution

The fourth proportional to 867.45, 1,302.02 and 820.63 is: 1,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.45 : 1,302.02 = 820.63 : x
  2. Step 2: Convert to fraction form
    867.45/1,302.02 = 820.63/x
  3. Step 3: Cross multiply
    867.45x = 1,302.02 × 820.63
  4. Step 4: Simplify right side
    867.45x = 1,068,467.64
  5. Step 5: Solve for x
    x = 1,068,467.64/867.45
  6. Step 6: Final answer
    x = 1,231.73

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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.