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Finding the Fourth Proportional to 1,002.30, 1,502.67 and 673.59

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Solution

The fourth proportional to 1,002.30, 1,502.67 and 673.59 is: 1,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.30 : 1,502.67 = 673.59 : x
  2. Step 2: Convert to fraction form
    1,002.30/1,502.67 = 673.59/x
  3. Step 3: Cross multiply
    1,002.30x = 1,502.67 × 673.59
  4. Step 4: Simplify right side
    1,002.30x = 1,012,183.49
  5. Step 5: Solve for x
    x = 1,012,183.49/1,002.30
  6. Step 6: Final answer
    x = 1,009.86

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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.