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Finding the Fourth Proportional to 1,140.20, 1,573.50 and 668.43

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Solution

The fourth proportional to 1,140.20, 1,573.50 and 668.43 is: 922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.20 : 1,573.50 = 668.43 : x
  2. Step 2: Convert to fraction form
    1,140.20/1,573.50 = 668.43/x
  3. Step 3: Cross multiply
    1,140.20x = 1,573.50 × 668.43
  4. Step 4: Simplify right side
    1,140.20x = 1,051,774.61
  5. Step 5: Solve for x
    x = 1,051,774.61/1,140.20
  6. Step 6: Final answer
    x = 922.45

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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.