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Finding the Fourth Proportional to 1,328.44, 1,992.67 and 354.53

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Solution

The fourth proportional to 1,328.44, 1,992.67 and 354.53 is: 531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.44 : 1,992.67 = 354.53 : x
  2. Step 2: Convert to fraction form
    1,328.44/1,992.67 = 354.53/x
  3. Step 3: Cross multiply
    1,328.44x = 1,992.67 × 354.53
  4. Step 4: Simplify right side
    1,328.44x = 706,461.30
  5. Step 5: Solve for x
    x = 706,461.30/1,328.44
  6. Step 6: Final answer
    x = 531.80

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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.