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Finding the Fourth Proportional to 1,057.38, 1,585.80 and 617.73

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Solution

The fourth proportional to 1,057.38, 1,585.80 and 617.73 is: 926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.38 : 1,585.80 = 617.73 : x
  2. Step 2: Convert to fraction form
    1,057.38/1,585.80 = 617.73/x
  3. Step 3: Cross multiply
    1,057.38x = 1,585.80 × 617.73
  4. Step 4: Simplify right side
    1,057.38x = 979,596.23
  5. Step 5: Solve for x
    x = 979,596.23/1,057.38
  6. Step 6: Final answer
    x = 926.44

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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.