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Finding the Fourth Proportional to 1,285.93, 1,928.90 and 361.59

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Solution

The fourth proportional to 1,285.93, 1,928.90 and 361.59 is: 542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.93 : 1,928.90 = 361.59 : x
  2. Step 2: Convert to fraction form
    1,285.93/1,928.90 = 361.59/x
  3. Step 3: Cross multiply
    1,285.93x = 1,928.90 × 361.59
  4. Step 4: Simplify right side
    1,285.93x = 697,470.95
  5. Step 5: Solve for x
    x = 697,470.95/1,285.93
  6. Step 6: Final answer
    x = 542.39

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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.