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Finding the Fourth Proportional to 1,328.32, 1,992.42 and 548.11

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Solution

The fourth proportional to 1,328.32, 1,992.42 and 548.11 is: 822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.32 : 1,992.42 = 548.11 : x
  2. Step 2: Convert to fraction form
    1,328.32/1,992.42 = 548.11/x
  3. Step 3: Cross multiply
    1,328.32x = 1,992.42 × 548.11
  4. Step 4: Simplify right side
    1,328.32x = 1,092,060.35
  5. Step 5: Solve for x
    x = 1,092,060.35/1,328.32
  6. Step 6: Final answer
    x = 822.14

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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.