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Finding the Fourth Proportional to 1,285.35, 1,926.20 and 960.34

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Solution

The fourth proportional to 1,285.35, 1,926.20 and 960.34 is: 1,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.35 : 1,926.20 = 960.34 : x
  2. Step 2: Convert to fraction form
    1,285.35/1,926.20 = 960.34/x
  3. Step 3: Cross multiply
    1,285.35x = 1,926.20 × 960.34
  4. Step 4: Simplify right side
    1,285.35x = 1,849,806.91
  5. Step 5: Solve for x
    x = 1,849,806.91/1,285.35
  6. Step 6: Final answer
    x = 1,439.15

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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.