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Finding the Fourth Proportional to 1,109.89, 1,665.17 and 329.92

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Solution

The fourth proportional to 1,109.89, 1,665.17 and 329.92 is: 494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.89 : 1,665.17 = 329.92 : x
  2. Step 2: Convert to fraction form
    1,109.89/1,665.17 = 329.92/x
  3. Step 3: Cross multiply
    1,109.89x = 1,665.17 × 329.92
  4. Step 4: Simplify right side
    1,109.89x = 549,379.53
  5. Step 5: Solve for x
    x = 549,379.53/1,109.89
  6. Step 6: Final answer
    x = 494.98

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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.