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Finding the Fourth Proportional to 1,065.18, 1,594.41 and 673.83

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Solution

The fourth proportional to 1,065.18, 1,594.41 and 673.83 is: 1,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.18 : 1,594.41 = 673.83 : x
  2. Step 2: Convert to fraction form
    1,065.18/1,594.41 = 673.83/x
  3. Step 3: Cross multiply
    1,065.18x = 1,594.41 × 673.83
  4. Step 4: Simplify right side
    1,065.18x = 1,074,361.29
  5. Step 5: Solve for x
    x = 1,074,361.29/1,065.18
  6. Step 6: Final answer
    x = 1,008.62

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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.