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Finding the Fourth Proportional to 1,285.26, 1,927.54 and 360.87

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Solution

The fourth proportional to 1,285.26, 1,927.54 and 360.87 is: 541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.26 : 1,927.54 = 360.87 : x
  2. Step 2: Convert to fraction form
    1,285.26/1,927.54 = 360.87/x
  3. Step 3: Cross multiply
    1,285.26x = 1,927.54 × 360.87
  4. Step 4: Simplify right side
    1,285.26x = 695,599.24
  5. Step 5: Solve for x
    x = 695,599.24/1,285.26
  6. Step 6: Final answer
    x = 541.21

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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.