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Finding the Fourth Proportional to 1,141.56, 1,710.99 and 556.83

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Solution

The fourth proportional to 1,141.56, 1,710.99 and 556.83 is: 834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.56 : 1,710.99 = 556.83 : x
  2. Step 2: Convert to fraction form
    1,141.56/1,710.99 = 556.83/x
  3. Step 3: Cross multiply
    1,141.56x = 1,710.99 × 556.83
  4. Step 4: Simplify right side
    1,141.56x = 952,730.56
  5. Step 5: Solve for x
    x = 952,730.56/1,141.56
  6. Step 6: Final answer
    x = 834.59

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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.