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Finding the Fourth Proportional to 1,127.21, 1,690.56 and 386.73

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Solution

The fourth proportional to 1,127.21, 1,690.56 and 386.73 is: 580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.21 : 1,690.56 = 386.73 : x
  2. Step 2: Convert to fraction form
    1,127.21/1,690.56 = 386.73/x
  3. Step 3: Cross multiply
    1,127.21x = 1,690.56 × 386.73
  4. Step 4: Simplify right side
    1,127.21x = 653,790.27
  5. Step 5: Solve for x
    x = 653,790.27/1,127.21
  6. Step 6: Final answer
    x = 580.01

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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.