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Finding the Fourth Proportional to 1,114.14, 1,539.43 and 1,074.72

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Solution

The fourth proportional to 1,114.14, 1,539.43 and 1,074.72 is: 1,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.14 : 1,539.43 = 1,074.72 : x
  2. Step 2: Convert to fraction form
    1,114.14/1,539.43 = 1,074.72/x
  3. Step 3: Cross multiply
    1,114.14x = 1,539.43 × 1,074.72
  4. Step 4: Simplify right side
    1,114.14x = 1,654,453.52
  5. Step 5: Solve for x
    x = 1,654,453.52/1,114.14
  6. Step 6: Final answer
    x = 1,484.96

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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.