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Finding the Fourth Proportional to 1,003.37, 1,505.86 and 426.65

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Solution

The fourth proportional to 1,003.37, 1,505.86 and 426.65 is: 640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.37 : 1,505.86 = 426.65 : x
  2. Step 2: Convert to fraction form
    1,003.37/1,505.86 = 426.65/x
  3. Step 3: Cross multiply
    1,003.37x = 1,505.86 × 426.65
  4. Step 4: Simplify right side
    1,003.37x = 642,466.57
  5. Step 5: Solve for x
    x = 642,466.57/1,003.37
  6. Step 6: Final answer
    x = 640.31

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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.