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Finding the Fourth Proportional to 1,109.78, 1,527.90 and 873.31

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Solution

The fourth proportional to 1,109.78, 1,527.90 and 873.31 is: 1,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.78 : 1,527.90 = 873.31 : x
  2. Step 2: Convert to fraction form
    1,109.78/1,527.90 = 873.31/x
  3. Step 3: Cross multiply
    1,109.78x = 1,527.90 × 873.31
  4. Step 4: Simplify right side
    1,109.78x = 1,334,325.98
  5. Step 5: Solve for x
    x = 1,334,325.98/1,109.78
  6. Step 6: Final answer
    x = 1,202.33

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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.