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Finding the Fourth Proportional to 1,601.65, 2,403.06 and 628.42

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Solution

The fourth proportional to 1,601.65, 2,403.06 and 628.42 is: 942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.65 : 2,403.06 = 628.42 : x
  2. Step 2: Convert to fraction form
    1,601.65/2,403.06 = 628.42/x
  3. Step 3: Cross multiply
    1,601.65x = 2,403.06 × 628.42
  4. Step 4: Simplify right side
    1,601.65x = 1,510,130.97
  5. Step 5: Solve for x
    x = 1,510,130.97/1,601.65
  6. Step 6: Final answer
    x = 942.86

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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.