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Finding the Fourth Proportional to 1,355.18, 2,032.89 and 381.28

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Solution

The fourth proportional to 1,355.18, 2,032.89 and 381.28 is: 571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.18 : 2,032.89 = 381.28 : x
  2. Step 2: Convert to fraction form
    1,355.18/2,032.89 = 381.28/x
  3. Step 3: Cross multiply
    1,355.18x = 2,032.89 × 381.28
  4. Step 4: Simplify right side
    1,355.18x = 775,090.13
  5. Step 5: Solve for x
    x = 775,090.13/1,355.18
  6. Step 6: Final answer
    x = 571.95

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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.