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Finding the Fourth Proportional to 1,140.76, 1,573.83 and 668.59

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Solution

The fourth proportional to 1,140.76, 1,573.83 and 668.59 is: 922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.76 : 1,573.83 = 668.59 : x
  2. Step 2: Convert to fraction form
    1,140.76/1,573.83 = 668.59/x
  3. Step 3: Cross multiply
    1,140.76x = 1,573.83 × 668.59
  4. Step 4: Simplify right side
    1,140.76x = 1,052,247.00
  5. Step 5: Solve for x
    x = 1,052,247.00/1,140.76
  6. Step 6: Final answer
    x = 922.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.