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Finding the Fourth Proportional to 1,285.20, 1,927.90 and 360.83

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Solution

The fourth proportional to 1,285.20, 1,927.90 and 360.83 is: 541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.20 : 1,927.90 = 360.83 : x
  2. Step 2: Convert to fraction form
    1,285.20/1,927.90 = 360.83/x
  3. Step 3: Cross multiply
    1,285.20x = 1,927.90 × 360.83
  4. Step 4: Simplify right side
    1,285.20x = 695,644.16
  5. Step 5: Solve for x
    x = 695,644.16/1,285.20
  6. Step 6: Final answer
    x = 541.27

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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.