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Finding the Fourth Proportional to 1,355.04, 2,032.56 and 381.14

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Solution

The fourth proportional to 1,355.04, 2,032.56 and 381.14 is: 571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.04 : 2,032.56 = 381.14 : x
  2. Step 2: Convert to fraction form
    1,355.04/2,032.56 = 381.14/x
  3. Step 3: Cross multiply
    1,355.04x = 2,032.56 × 381.14
  4. Step 4: Simplify right side
    1,355.04x = 774,698.97
  5. Step 5: Solve for x
    x = 774,698.97/1,355.04
  6. Step 6: Final answer
    x = 571.72

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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.