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Finding the Fourth Proportional to 1,285.59, 1,928.71 and 361.15

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Solution

The fourth proportional to 1,285.59, 1,928.71 and 361.15 is: 541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.59 : 1,928.71 = 361.15 : x
  2. Step 2: Convert to fraction form
    1,285.59/1,928.71 = 361.15/x
  3. Step 3: Cross multiply
    1,285.59x = 1,928.71 × 361.15
  4. Step 4: Simplify right side
    1,285.59x = 696,553.62
  5. Step 5: Solve for x
    x = 696,553.62/1,285.59
  6. Step 6: Final answer
    x = 541.82

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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.