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Finding the Fourth Proportional to 1,285.24, 1,927.60 and 360.84

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Solution

The fourth proportional to 1,285.24, 1,927.60 and 360.84 is: 541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.24 : 1,927.60 = 360.84 : x
  2. Step 2: Convert to fraction form
    1,285.24/1,927.60 = 360.84/x
  3. Step 3: Cross multiply
    1,285.24x = 1,927.60 × 360.84
  4. Step 4: Simplify right side
    1,285.24x = 695,555.18
  5. Step 5: Solve for x
    x = 695,555.18/1,285.24
  6. Step 6: Final answer
    x = 541.19

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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.