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Finding the Fourth Proportional to 1,141.82, 1,713.22 and 557.34

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Solution

The fourth proportional to 1,141.82, 1,713.22 and 557.34 is: 836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.82 : 1,713.22 = 557.34 : x
  2. Step 2: Convert to fraction form
    1,141.82/1,713.22 = 557.34/x
  3. Step 3: Cross multiply
    1,141.82x = 1,713.22 × 557.34
  4. Step 4: Simplify right side
    1,141.82x = 954,846.03
  5. Step 5: Solve for x
    x = 954,846.03/1,141.82
  6. Step 6: Final answer
    x = 836.25

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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.