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Finding the Fourth Proportional to 1,355.23, 2,032.84 and 329.23

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Solution

The fourth proportional to 1,355.23, 2,032.84 and 329.23 is: 493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.23 : 2,032.84 = 329.23 : x
  2. Step 2: Convert to fraction form
    1,355.23/2,032.84 = 329.23/x
  3. Step 3: Cross multiply
    1,355.23x = 2,032.84 × 329.23
  4. Step 4: Simplify right side
    1,355.23x = 669,266.83
  5. Step 5: Solve for x
    x = 669,266.83/1,355.23
  6. Step 6: Final answer
    x = 493.84

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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.