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Finding the Fourth Proportional to 1,140.66, 1,573.31 and 1,102.55

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Solution

The fourth proportional to 1,140.66, 1,573.31 and 1,102.55 is: 1,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.66 : 1,573.31 = 1,102.55 : x
  2. Step 2: Convert to fraction form
    1,140.66/1,573.31 = 1,102.55/x
  3. Step 3: Cross multiply
    1,140.66x = 1,573.31 × 1,102.55
  4. Step 4: Simplify right side
    1,140.66x = 1,734,639.56
  5. Step 5: Solve for x
    x = 1,734,639.56/1,140.66
  6. Step 6: Final answer
    x = 1,520.73

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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.