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Finding the Fourth Proportional to 1,073.14, 1,609.94 and 611.14

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Solution

The fourth proportional to 1,073.14, 1,609.94 and 611.14 is: 916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.14 : 1,609.94 = 611.14 : x
  2. Step 2: Convert to fraction form
    1,073.14/1,609.94 = 611.14/x
  3. Step 3: Cross multiply
    1,073.14x = 1,609.94 × 611.14
  4. Step 4: Simplify right side
    1,073.14x = 983,898.73
  5. Step 5: Solve for x
    x = 983,898.73/1,073.14
  6. Step 6: Final answer
    x = 916.84

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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.