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Finding the Fourth Proportional to 1,109.12, 1,663.53 and 329.11

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Solution

The fourth proportional to 1,109.12, 1,663.53 and 329.11 is: 493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.12 : 1,663.53 = 329.11 : x
  2. Step 2: Convert to fraction form
    1,109.12/1,663.53 = 329.11/x
  3. Step 3: Cross multiply
    1,109.12x = 1,663.53 × 329.11
  4. Step 4: Simplify right side
    1,109.12x = 547,484.36
  5. Step 5: Solve for x
    x = 547,484.36/1,109.12
  6. Step 6: Final answer
    x = 493.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.