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Finding the Fourth Proportional to 1,328.22, 1,992.35 and 462.53

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Solution

The fourth proportional to 1,328.22, 1,992.35 and 462.53 is: 693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.22 : 1,992.35 = 462.53 : x
  2. Step 2: Convert to fraction form
    1,328.22/1,992.35 = 462.53/x
  3. Step 3: Cross multiply
    1,328.22x = 1,992.35 × 462.53
  4. Step 4: Simplify right side
    1,328.22x = 921,519.33
  5. Step 5: Solve for x
    x = 921,519.33/1,328.22
  6. Step 6: Final answer
    x = 693.80

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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.