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Finding the Fourth Proportional to 1,240.75, 1,861.13 and 556.75

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Solution

The fourth proportional to 1,240.75, 1,861.13 and 556.75 is: 835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.75 : 1,861.13 = 556.75 : x
  2. Step 2: Convert to fraction form
    1,240.75/1,861.13 = 556.75/x
  3. Step 3: Cross multiply
    1,240.75x = 1,861.13 × 556.75
  4. Step 4: Simplify right side
    1,240.75x = 1,036,184.13
  5. Step 5: Solve for x
    x = 1,036,184.13/1,240.75
  6. Step 6: Final answer
    x = 835.13

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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.